13112000310113 has 32 divisors (see below), whose sum is σ = 14103582375456. Its totient is φ = 12146335285248.

The previous prime is 13112000310089. The next prime is 13112000310179. The reversal of 13112000310113 is 31101300021131.

It can be written as a sum of positive squares in 16 ways, for example, as 2131737242209 + 10980263067904 = 1460047^2 + 3313648^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112000310113 - 2⁶ = 13112000310049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 13112000310091 and 13112000310100.

It is not an unprimeable number, because it can be changed into a prime (13112000318113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665434945 + ... + 1665442817.

It is an arithmetic number, because the mean of its divisors is an integer number (440736949233).

Almost surely, 2^{13112000310113} is an apocalyptic number.

It is an amenable number.

13112000310113 is a deficient number, since it is larger than the sum of its proper divisors (991582065343).

13112000310113 is a wasteful number, since it uses less digits than its factorization.

13112000310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13112000310113 its reverse (31101300021131), we get a palindrome (44213300331244).

The spelling of 13112000310113 in words is "thirteen trillion, one hundred twelve billion, three hundred ten thousand, one hundred thirteen".