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13132301013 = 35139834229
BaseRepresentation
bin11000011101011111…
…10000001011010101
31020220012202000100000
430032233300023111
5203343332113023
610011034441513
7643300500606
oct141657601325
936805660300
1013132301013
115629929137
122665b93299
131313914920
148c8167dad
1551cd87243
hex30ebf02d5

13132301013 has 48 divisors (see below), whose sum is σ = 21211182720. Its totient is φ = 8071285824.

The previous prime is 13132300999. The next prime is 13132301029. The reversal of 13132301013 is 31010323131.

It is a happy number.

It is not a de Polignac number, because 13132301013 - 24 = 13132300997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132301113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3103183 + ... + 3107411.

It is an arithmetic number, because the mean of its divisors is an integer number (441899640).

Almost surely, 213132301013 is an apocalyptic number.

13132301013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13132301013 is a deficient number, since it is larger than the sum of its proper divisors (8078881707).

13132301013 is an equidigital number, since it uses as much as digits as its factorization.

13132301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13132301013 its reverse (31010323131), we get a palindrome (44142624144).

The spelling of 13132301013 in words is "thirteen billion, one hundred thirty-two million, three hundred one thousand, thirteen".

Divisors: 1 3 9 13 27 39 81 117 243 351 983 1053 2949 3159 4229 8847 12687 12779 26541 38061 38337 54977 79623 114183 115011 164931 238869 342549 345033 494793 1027647 1035099 1484379 3105297 4157107 4453137 12471321 13359411 37413963 54042391 112241889 162127173 336725667 486381519 1010177001 1459144557 4377433671 13132301013