31313002320 has 120 divisors (see below), whose sum is σ = 108001739976. Its totient is φ = 8124447744.

The previous prime is 31313002261. The next prime is 31313002339. The reversal of 31313002320 is 2320031313.

31313002320 is a `hidden beast` number, since 3 + 131 + 300 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11442153024 + 19870849296 = 106968^2 + 140964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×31313002320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31313002293 and 31313002302.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 561067 + ... + 614346.

Almost surely, 2^31313002320 is an apocalyptic number.

31313002320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31313002320 is an abundant number, since it is smaller than the sum of its proper divisors (76688737656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31313002320 is a wasteful number, since it uses less digits than its factorization.

31313002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175469 (or 1175460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31313002320 its reverse (2320031313), we get a palindrome (33633033633).

The spelling of 31313002320 in words is "thirty-one billion, three hundred thirteen million, two thousand, three hundred twenty".