313112021323311 has 64 divisors (see below), whose sum is σ = 530669462400000. Its totient is φ = 178741384321536.

The previous prime is 313112021323271. The next prime is 313112021323373. The reversal of 313112021323311 is 113323120211313.

313112021323311 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 2 + 0 + 21 + 323 + 311 = 666.

It is not a de Polignac number, because 313112021323311 - 2¹⁵ = 313112021290543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313112021303311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6346111680 + ... + 6346161018.

It is an arithmetic number, because the mean of its divisors is an integer number (8291710350000).

Almost surely, 2^{313112021323311} is an apocalyptic number.

313112021323311 is a deficient number, since it is larger than the sum of its proper divisors (217557441076689).

313112021323311 is a wasteful number, since it uses less digits than its factorization.

313112021323311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82413 (or 82407 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 313112021323311 its reverse (113323120211313), we get a palindrome (426435141534624).

The spelling of 313112021323311 in words is "three hundred thirteen trillion, one hundred twelve billion, twenty-one million, three hundred twenty-three thousand, three hundred eleven".