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13121131320023 = 1747611492118563
BaseRepresentation
bin1011111011110000000001…
…0111110001001011010111
31201110100221012110011002112
42332330000113301023113
53204434034104220043
643523433045101235
72522653603004036
oct276740027611327
951410835404075
1013121131320023
1141a9705621341
12157ab683b781b
1374241836b1cc
143350cd70071d
1517b49db0d518
hexbef005f12d7

13121131320023 has 64 divisors (see below), whose sum is σ = 14588451993600. Its totient is φ = 11751283353600.

The previous prime is 13121131319999. The next prime is 13121131320047. The reversal of 13121131320023 is 32002313112131.

It is an interprime number because it is at equal distance from previous prime (13121131319999) and next prime (13121131320047).

It is a cyclic number.

It is not a de Polignac number, because 13121131320023 - 28 = 13121131319767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121131320053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1532301140 + ... + 1532309702.

It is an arithmetic number, because the mean of its divisors is an integer number (227944562400).

Almost surely, 213121131320023 is an apocalyptic number.

13121131320023 is a deficient number, since it is larger than the sum of its proper divisors (1467320673577).

13121131320023 is a wasteful number, since it uses less digits than its factorization.

13121131320023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13121131320023 its reverse (32002313112131), we get a palindrome (45123444432154).

The spelling of 13121131320023 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred twenty thousand, twenty-three".

Divisors: 1 17 47 61 149 211 799 1037 2533 2867 3587 7003 8563 9089 9917 12871 31439 48739 119051 145571 154513 168589 218807 402461 427183 522343 534463 604937 1275887 1477633 1806793 1917779 6841837 7262111 8879831 10283929 21690079 24550121 25119761 30715481 32602243 59966689 77829107 84919271 90135613 110214373 269212157 417352057 1019433713 1323094819 1443627607 1532305421 1873644341 3657968029 4576606669 5180075531 12652971379 16421941577 62185456493 88061284027 215100513443 279173006809 771831254119 13121131320023