313311013000000 has 196 divisors, whose sum is σ = 780172792176060. Its totient is φ = 124836659200000.

The previous prime is 313311012999827. The next prime is 313311013000021. The reversal of 313311013000000 is 310113313.

It can be written as a sum of positive squares in 14 ways, for example, as 293833902029056 + 19477110970944 = 17141584^2 + 4413288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256390446 + ... + 257609554.

Almost surely, 2^{313311013000000} 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 313311013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390086396088030).

313311013000000 is an abundant number, since it is smaller than the sum of its proper divisors (466861779176060).

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

313311013000000 is an frugal number, since it uses more digits than its factorization.

313311013000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219408 (or 1219373 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 313311013000000 its reverse (310113313), we get a palindrome (313311323113313).

The spelling of 313311013000000 in words is "three hundred thirteen trillion, three hundred eleven billion, thirteen million", and thus it is an aban number.