313013131253 has 2 divisors, whose sum is σ = 313013131254. Its totient is φ = 313013131252.

The previous prime is 313013131247. The next prime is 313013131267. The reversal of 313013131253 is 352131310313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308983674769 + 4029456484 = 555863^2 + 63478^2 .

It is a cyclic number.

It is not a de Polignac number, because 313013131253 - 2¹⁸ = 313012869109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313013131153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506565626 + 156506565627.

It is an arithmetic number, because the mean of its divisors is an integer number (156506565627).

Almost surely, 2^313013131253 is an apocalyptic number.

It is an amenable number.

313013131253 is a deficient number, since it is larger than the sum of its proper divisors (1).

313013131253 is an equidigital number, since it uses as much as digits as its factorization.

313013131253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 313013131253 its reverse (352131310313), we get a palindrome (665144441566).

The spelling of 313013131253 in words is "three hundred thirteen billion, thirteen million, one hundred thirty-one thousand, two hundred fifty-three".