13105435013132 has 48 divisors (see below), whose sum is σ = 28611317011200. Its totient is φ = 5102863531200.

The previous prime is 13105435013101. The next prime is 13105435013141. The reversal of 13105435013132 is 23131053450131.

It is a super-2 number, since 2×13105435013132² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12625382 + ... + 13623917.

It is an arithmetic number, because the mean of its divisors is an integer number (596069104400).

Almost surely, 2^{13105435013132} is an apocalyptic number.

It is an amenable number.

13105435013132 is an abundant number, since it is smaller than the sum of its proper divisors (15505881998068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105435013132 is a wasteful number, since it uses less digits than its factorization.

13105435013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26250942 (or 26250940 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 13105435013132 its reverse (23131053450131), we get a palindrome (36236488463263).

The spelling of 13105435013132 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, thirteen thousand, one hundred thirty-two".