2013131032037 has 2 divisors, whose sum is σ = 2013131032038. Its totient is φ = 2013131032036.

The previous prime is 2013131031943. The next prime is 2013131032049. The reversal of 2013131032037 is 7302301313102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1022361632161 + 990769399876 = 1011119^2 + 995374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013131032037 - 2²⁰ = 2013129983461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013131031997 and 2013131032015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013131032057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006565516018 + 1006565516019.

It is an arithmetic number, because the mean of its divisors is an integer number (1006565516019).

Almost surely, 2^{2013131032037} is an apocalyptic number.

It is an amenable number.

2013131032037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013131032037 is an equidigital number, since it uses as much as digits as its factorization.

2013131032037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 2013131032037 its reverse (7302301313102), we get a palindrome (9315432345139).

The spelling of 2013131032037 in words is "two trillion, thirteen billion, one hundred thirty-one million, thirty-two thousand, thirty-seven".