313131104211321 has 384 divisors, whose sum is σ = 564846394060800. Its totient is φ = 169759908864000.

The previous prime is 313131104211271. The next prime is 313131104211329. The reversal of 313131104211321 is 123112401131313.

313131104211321 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 311 + 0 + 4 + 21 + 1 + 321 = 666.

It is not a de Polignac number, because 313131104211321 - 2⁶ = 313131104211257 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (313131104211329) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114658037526 + ... + 114658040256.

It is an arithmetic number, because the mean of its divisors is an integer number (1470954151200).

Almost surely, 2^{313131104211321} is an apocalyptic number.

It is an amenable number.

313131104211321 is a deficient number, since it is larger than the sum of its proper divisors (251715289849479).

313131104211321 is a wasteful number, since it uses less digits than its factorization.

313131104211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 313131104211321 its reverse (123112401131313), we get a palindrome (436243505342634).

The spelling of 313131104211321 in words is "three hundred thirteen trillion, one hundred thirty-one billion, one hundred four million, two hundred eleven thousand, three hundred twenty-one".