313213102320 has 80 divisors (see below), whose sum is σ = 991619389440. Its totient is φ = 81746395392.

The previous prime is 313213102309. The next prime is 313213102327. The reversal of 313213102320 is 23201312313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213102327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13872280 + ... + 13894839.

It is an arithmetic number, because the mean of its divisors is an integer number (12395242368).

Almost surely, 2^313213102320 is an apocalyptic number.

313213102320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313213102320 is an abundant number, since it is smaller than the sum of its proper divisors (678406287120).

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

313213102320 is a wasteful number, since it uses less digits than its factorization.

313213102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27767182 (or 27767176 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313213102320 its reverse (23201312313), we get a palindrome (336414414633).

The spelling of 313213102320 in words is "three hundred thirteen billion, two hundred thirteen million, one hundred two thousand, three hundred twenty".