313113300000 has 288 divisors, whose sum is σ = 1029393489600. Its totient is φ = 83329920000.

The previous prime is 313113299981. The next prime is 313113300007. The reversal of 313113300000 is 3311313.

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 (313113300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248699371 + ... + 248700629.

It is an arithmetic number, because the mean of its divisors is an integer number (3574282950).

Almost surely, 2^313113300000 is an apocalyptic number.

313113300000 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 313113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514696744800).

313113300000 is an abundant number, since it is smaller than the sum of its proper divisors (716280189600).

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

313113300000 is an equidigital number, since it uses as much as digits as its factorization.

313113300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 313113300000 its reverse (3311313), we get a palindrome (313116611313).

The spelling of 313113300000 in words is "three hundred thirteen billion, one hundred thirteen million, three hundred thousand".