313013504000 has 192 divisors, whose sum is σ = 784736709120. Its totient is φ = 124621209600.

The previous prime is 313013503973. The next prime is 313013504039. The reversal of 313013504000 is 405310313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57085259 + ... + 57090741.

It is an arithmetic number, because the mean of its divisors is an integer number (4087170360).

Almost surely, 2^313013504000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313013504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392368354560).

313013504000 is an abundant number, since it is smaller than the sum of its proper divisors (471723205120).

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

313013504000 is an equidigital number, since it uses as much as digits as its factorization.

313013504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 313013504000 its reverse (405310313), we get a palindrome (313418814313).

The spelling of 313013504000 in words is "three hundred thirteen billion, thirteen million, five hundred four thousand".