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13021301022301 = 1113414379837877
BaseRepresentation
bin1011110101111100001000…
…0001011001111001011101
31201002211020212010120121101
42331133002001121321131
53201320111030203201
643405523023233101
72512520656324255
oct275370201317135
951084225116541
1013021301022301
114170336a65060
121563747448791
13735b98a68420
1433033d016965
15178aa9745d01
hexbd7c2059e5d

13021301022301 has 128 divisors (see below), whose sum is σ = 16436013834240. Its totient is φ = 10155579033600.

The previous prime is 13021301022299. The next prime is 13021301022313. The reversal of 13021301022301 is 10322010312031.

It is not a de Polignac number, because 13021301022301 - 21 = 13021301022299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021301022361) 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, 1653074775 + ... + 1653082651.

It is an arithmetic number, because the mean of its divisors is an integer number (128406358080).

Almost surely, 213021301022301 is an apocalyptic number.

13021301022301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13021301022301 is a deficient number, since it is larger than the sum of its proper divisors (3414712811939).

13021301022301 is a wasteful number, since it uses less digits than its factorization.

13021301022301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13021301022301 its reverse (10322010312031), we get a palindrome (23343311334332).

The spelling of 13021301022301 in words is "thirteen trillion, twenty-one billion, three hundred one million, twenty-two thousand, three hundred one".

Divisors: 1 11 13 41 43 79 83 143 451 473 533 559 869 913 1027 1079 1763 3239 3397 3403 3569 5863 6149 6557 7877 11297 11869 19393 22919 35629 37367 37433 39259 42107 44161 44239 46397 72127 85241 86647 102401 139277 146329 252109 268837 281951 322957 338711 463177 485771 486629 510367 622283 653791 937651 1126411 1532047 1609619 1810601 1902277 2957207 3101461 3494881 3552527 3665363 3725821 4198441 4403243 6845113 7191701 8089679 8499283 11559991 13887151 19916611 20925047 25513603 26758169 26805431 28113013 38443691 40318993 46182851 48435673 51649489 88986469 93492113 127159901 150279883 152758661 180532963 280649633 294339859 294859741 309243143 331676839 347856197 348470603 365469169 568144379 671443357 1097084929 1152633533 1653078713 1985862593 2117629049 2220928027 3648445229 3826418167 3833176633 4020160859 7385876927 12067934219 12678968863 14262104077 14984235929 23293919539 24430208297 27529177637 28872064351 91058049107 156883144847 164826595219 302820954007 317592707861 1001638540177 1183754638391 13021301022301