313501134320 has 80 divisors (see below), whose sum is σ = 795254323680. Its totient is φ = 113985868800.

The previous prime is 313501134257. The next prime is 313501134361. The reversal of 313501134320 is 23431105313.

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

It is a super-2 number, since 2×313501134320² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313501134320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8843030 + ... + 8878410.

It is an arithmetic number, because the mean of its divisors is an integer number (9940679046).

Almost surely, 2^313501134320 is an apocalyptic number.

It is an amenable number.

313501134320 is an abundant number, since it is smaller than the sum of its proper divisors (481753189360).

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

313501134320 is a wasteful number, since it uses less digits than its factorization.

313501134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45474 (or 45468 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 313501134320 its reverse (23431105313), we get a palindrome (336932239633).

The spelling of 313501134320 in words is "three hundred thirteen billion, five hundred one million, one hundred thirty-four thousand, three hundred twenty".