2013123131131 has 16 divisors (see below), whose sum is σ = 2310583484160. Its totient is φ = 1718134812000.

The previous prime is 2013123131113. The next prime is 2013123131137. The reversal of 2013123131131 is 1311313213102.

It is a cyclic number.

It is not a de Polignac number, because 2013123131131 - 2⁷ = 2013123131003 is a prime.

It is a super-2 number, since 2×2013123131131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013123131137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5637165 + ... + 5983633.

It is an arithmetic number, because the mean of its divisors is an integer number (144411467760).

Almost surely, 2^{2013123131131} is an apocalyptic number.

2013123131131 is a deficient number, since it is larger than the sum of its proper divisors (297460353029).

2013123131131 is a wasteful number, since it uses less digits than its factorization.

2013123131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350034.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 2013123131131 its reverse (1311313213102), we get a palindrome (3324436344233).

The spelling of 2013123131131 in words is "two trillion, thirteen billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-one".