313120331949253 has 2 divisors, whose sum is σ = 313120331949254. Its totient is φ = 313120331949252.

The previous prime is 313120331949241. The next prime is 313120331949259. The reversal of 313120331949253 is 352949133021313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294174569704324 + 18945762244929 = 17151518^2 + 4352673^2 .

It is a cyclic number.

It is not a de Polignac number, because 313120331949253 - 2²¹ = 313120329852101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313120331949197 and 313120331949206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313120331949259) 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, 156560165974626 + 156560165974627.

It is an arithmetic number, because the mean of its divisors is an integer number (156560165974627).

Almost surely, 2^{313120331949253} is an apocalyptic number.

It is an amenable number.

313120331949253 is a deficient number, since it is larger than the sum of its proper divisors (1).

313120331949253 is an equidigital number, since it uses as much as digits as its factorization.

313120331949253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1574640, while the sum is 49.

The spelling of 313120331949253 in words is "three hundred thirteen trillion, one hundred twenty billion, three hundred thirty-one million, nine hundred forty-nine thousand, two hundred fifty-three".