2131131302513 has 2 divisors, whose sum is σ = 2131131302514. Its totient is φ = 2131131302512.

The previous prime is 2131131302459. The next prime is 2131131302527. The reversal of 2131131302513 is 3152031311312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1303380705649 + 827750596864 = 1141657^2 + 909808^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131131302513 - 2⁸ = 2131131302257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2131131308513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065565651256 + 1065565651257.

It is an arithmetic number, because the mean of its divisors is an integer number (1065565651257).

Almost surely, 2^{2131131302513} is an apocalyptic number.

It is an amenable number.

2131131302513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131131302513 is an equidigital number, since it uses as much as digits as its factorization.

2131131302513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 2131131302513 its reverse (3152031311312), we get a palindrome (5283162613825).

The spelling of 2131131302513 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred two thousand, five hundred thirteen".