313312021303131 has 64 divisors (see below), whose sum is σ = 475653159168000. Its totient is φ = 203719748712480.

The previous prime is 313312021303129. The next prime is 313312021303139. The reversal of 313312021303131 is 131303120213313.

313312021303131 is a `hidden beast` number, since 3 + 1 + 3 + 312 + 0 + 2 + 1 + 30 + 313 + 1 = 666.

It is not a de Polignac number, because 313312021303131 - 2¹ = 313312021303129 is a prime.

It is a super-2 number, since 2×313312021303131² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313312021303095 and 313312021303104.

It is not an unprimeable number, because it can be changed into a prime (313312021303139) 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, 3529396776 + ... + 3529485546.

It is an arithmetic number, because the mean of its divisors is an integer number (7432080612000).

Almost surely, 2^{313312021303131} is an apocalyptic number.

313312021303131 is a deficient number, since it is larger than the sum of its proper divisors (162341137864869).

313312021303131 is a wasteful number, since it uses less digits than its factorization.

313312021303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93221 (or 93215 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313312021303131 its reverse (131303120213313), we get a palindrome (444615141516444).

The spelling of 313312021303131 in words is "three hundred thirteen trillion, three hundred twelve billion, twenty-one million, three hundred three thousand, one hundred thirty-one".