13112000313201 has 12 divisors (see below), whose sum is σ = 19037688425028. Its totient is φ = 8696041657344.

The previous prime is 13112000313187. The next prime is 13112000313233. The reversal of 13112000313201 is 10231300021131.

13112000313201 is a `hidden beast` number, since 1 + 31 + 120 + 0 + 0 + 313 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6962711303025 + 6149289010176 = 2638695^2 + 2479776^2 .

It is not a de Polignac number, because 13112000313201 - 2⁷ = 13112000313073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13112000313001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3774321900 + ... + 3774325373.

It is an arithmetic number, because the mean of its divisors is an integer number (1586474035419).

Almost surely, 2^{13112000313201} is an apocalyptic number.

It is an amenable number.

13112000313201 is a deficient number, since it is larger than the sum of its proper divisors (5925688111827).

13112000313201 is a wasteful number, since it uses less digits than its factorization.

13112000313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548647472 (or 7548647469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13112000313201 its reverse (10231300021131), we get a palindrome (23343300334332).

The spelling of 13112000313201 in words is "thirteen trillion, one hundred twelve billion, three hundred thirteen thousand, two hundred one".