2131132313 has 2 divisors, whose sum is σ = 2131132314. Its totient is φ = 2131132312.

The previous prime is 2131132303. The next prime is 2131132337. The reversal of 2131132313 is 3132311312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1262238784 + 868893529 = 35528^2 + 29477^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131132313 - 2¹⁸ = 2130870169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2131132303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065566156 + 1065566157.

It is an arithmetic number, because the mean of its divisors is an integer number (1065566157).

Almost surely, 2^2131132313 is an apocalyptic number.

It is an amenable number.

2131132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131132313 is an equidigital number, since it uses as much as digits as its factorization.

2131132313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 20.

The square root of 2131132313 is about 46164.1886422799. The cubic root of 2131132313 is about 1286.8763059294.

Adding to 2131132313 its reverse (3132311312), we get a palindrome (5263443625).

The spelling of 2131132313 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirteen".