313012213120 has 128 divisors (see below), whose sum is σ = 765808084800. Its totient is φ = 122307010560.

The previous prime is 313012213093. The next prime is 313012213121. The reversal of 313012213120 is 21312210313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313012213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4921362 + ... + 4984558.

Almost surely, 2^313012213120 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 313012213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382904042400).

313012213120 is an abundant number, since it is smaller than the sum of its proper divisors (452795871680).

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

313012213120 is a wasteful number, since it uses less digits than its factorization.

313012213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63396 (or 63384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 313012213120 its reverse (21312210313), we get a palindrome (334324423433).

The spelling of 313012213120 in words is "three hundred thirteen billion, twelve million, two hundred thirteen thousand, one hundred twenty".