313071465165312 has 960 divisors, whose sum is σ = 1045836516536064. Its totient is φ = 81464225955840.

The previous prime is 313071465165289. The next prime is 313071465165343. The reversal of 313071465165312 is 213561564170313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12022239012 + ... + 12022265052.

Almost surely, 2^{313071465165312} is an apocalyptic number.

313071465165312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313071465165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522918258268032).

313071465165312 is an abundant number, since it is smaller than the sum of its proper divisors (732765051370752).

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

313071465165312 is a wasteful number, since it uses less digits than its factorization.

313071465165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26229 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 313071465165312 in words is "three hundred thirteen trillion, seventy-one billion, four hundred sixty-five million, one hundred sixty-five thousand, three hundred twelve".