2013120012131 has 16 divisors (see below), whose sum is σ = 2268935517600. Its totient is φ = 1774811731968.

The previous prime is 2013120012109. The next prime is 2013120012151. The reversal of 2013120012131 is 1312100213102.

It is a cyclic number.

It is not a de Polignac number, because 2013120012131 - 2³⁴ = 1995940142947 is a prime.

It is a super-2 number, since 2×2013120012131² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013120012151) 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, 34985690 + ... + 35043183.

It is an arithmetic number, because the mean of its divisors is an integer number (141808469850).

Almost surely, 2^{2013120012131} is an apocalyptic number.

2013120012131 is a deficient number, since it is larger than the sum of its proper divisors (255815505469).

2013120012131 is a wasteful number, since it uses less digits than its factorization.

2013120012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70028998.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2013120012131 its reverse (1312100213102), we get a palindrome (3325220225233).

The spelling of 2013120012131 in words is "two trillion, thirteen billion, one hundred twenty million, twelve thousand, one hundred thirty-one".