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13131013234053 = 31113193747926377
BaseRepresentation
bin1011111100010100110101…
…1000010001110110000101
31201111022102220000101201110
42333011031120101312011
53210114303341442203
643532145412515233
72523453514616031
oct277051530216605
951438386011643
1013131013234053
114202916711640
121580a6591bb19
13743331751a10
14335789cc51c1
1517b87b442d03
hexbf14d611d85

13131013234053 has 128 divisors (see below), whose sum is σ = 22709749063680. Its totient is φ = 6627219793920.

The previous prime is 13131013234051. The next prime is 13131013234109. The reversal of 13131013234053 is 35043231013131.

It is a happy number.

13131013234053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131013234053 - 21 = 13131013234051 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131013234053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131013234051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13711401 + ... + 14637777.

It is an arithmetic number, because the mean of its divisors is an integer number (177419914560).

Almost surely, 213131013234053 is an apocalyptic number.

13131013234053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13131013234053 is a deficient number, since it is larger than the sum of its proper divisors (9578735829627).

13131013234053 is a wasteful number, since it uses less digits than its factorization.

13131013234053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926507.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 13131013234053 its reverse (35043231013131), we get a palindrome (48174244247184).

The spelling of 13131013234053 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, two hundred thirty-four thousand, fifty-three".

Divisors: 1 3 11 13 19 33 37 39 47 57 111 141 143 209 247 407 429 481 517 611 627 703 741 893 1221 1443 1551 1739 1833 2109 2679 2717 5217 5291 6721 7733 8151 9139 9823 11609 15873 19129 20163 22607 23199 27417 29469 33041 34827 57387 67821 99123 100529 127699 248677 301587 363451 383097 429533 746031 926377 1090353 1288599 2779131 4724863 10190147 12042901 14174589 17601163 30570441 34275949 36128703 43539719 52803489 102827847 130619157 132471911 193612793 228815119 377035439 397415733 445587337 478936909 566016347 580838379 651243031 686445357 827254661 1131106317 1336762011 1436810727 1610969603 1698049041 1953729093 2481763983 2516966309 4832908809 4901460707 6226179817 7163673341 7550898927 8466159403 9099801271 10754310593 14704382121 17720665633 18678539451 20942604839 21491020023 25398478209 27299403813 30608422457 32262931779 53161996899 62827814517 91825267371 93127753433 118297416523 230368653229 279383260299 336692647027 354892249569 397909491941 691105959687 1010077941081 1193728475823 4377004411351 13131013234053