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13132330013 = 112108531653
BaseRepresentation
bin11000011101011111…
…10111010000011101
31020220012210111010002
430032233313100131
5203343334030023
610011035224045
7643300651265
oct141657672035
936805714102
1013132330013
115629948a00
122665ba8025
131313924b9a
148c81747a5
1551cd90b28
hex30ebf741d

13132330013 has 6 divisors (see below), whose sum is σ = 14434709982. Its totient is φ = 11938481720.

The previous prime is 13132329961. The next prime is 13132330021. The reversal of 13132330013 is 31003323131.

It can be written as a sum of positive squares in only one way, i.e., 7374859129 + 5757470884 = 85877^2 + 75878^2 .

It is not a de Polignac number, because 13132330013 - 212 = 13132325917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132330063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54265706 + ... + 54265947.

It is an arithmetic number, because the mean of its divisors is an integer number (2405784997).

Almost surely, 213132330013 is an apocalyptic number.

It is an amenable number.

13132330013 is a deficient number, since it is larger than the sum of its proper divisors (1302379969).

13132330013 is a wasteful number, since it uses less digits than its factorization.

13132330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108531675 (or 108531664 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13132330013 its reverse (31003323131), we get a palindrome (44135653144).

The spelling of 13132330013 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty thousand, thirteen".

Divisors: 1 11 121 108531653 1193848183 13132330013