313100031000 has 512 divisors, whose sum is σ = 1090372608000. Its totient is φ = 74462976000.

The previous prime is 313100030953. The next prime is 313100031001. The reversal of 313100031000 is 130001313.

It is a super-2 number, since 2×313100031000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100031001) 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 127 ways as a sum of consecutive naturals, for example, 65376606 + ... + 65381394.

It is an arithmetic number, because the mean of its divisors is an integer number (2129634000).

Almost surely, 2^313100031000 is an apocalyptic number.

313100031000 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 313100031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545186304000).

313100031000 is an abundant number, since it is smaller than the sum of its proper divisors (777272577000).

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

313100031000 is a wasteful number, since it uses less digits than its factorization.

313100031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 313100031000 its reverse (130001313), we get a palindrome (313230032313).

The spelling of 313100031000 in words is "three hundred thirteen billion, one hundred million, thirty-one thousand".