313023012000000 has 504 divisors, whose sum is σ = 1045955385974688. Its totient is φ = 83104358400000.

The previous prime is 313023011999939. The next prime is 313023012000007. The reversal of 313023012000000 is 210320313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (313023012000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2723942544 + ... + 2724057456.

Almost surely, 2^{313023012000000} is an apocalyptic number.

313023012000000 is a gapful number since it is divisible by the number (30) 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 313023012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522977692987344).

313023012000000 is an abundant number, since it is smaller than the sum of its proper divisors (732932373974688).

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

313023012000000 is an frugal number, since it uses more digits than its factorization.

313023012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115189 (or 115150 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313023012000000 its reverse (210320313), we get a palindrome (313023222320313).

The spelling of 313023012000000 in words is "three hundred thirteen trillion, twenty-three billion, twelve million", and thus it is an aban number.