313023100 has 216 divisors, whose sum is σ = 833384160. Its totient is φ = 101122560.

The previous prime is 313023097. The next prime is 313023107. The reversal of 313023100 is 1320313.

313023100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×313023100² = 195966922267220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313023107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10793886 + ... + 10793914.

It is an arithmetic number, because the mean of its divisors is an integer number (3858260).

Almost surely, 2^313023100 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 313023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416692080).

313023100 is an abundant number, since it is smaller than the sum of its proper divisors (520361060).

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

313023100 is a wasteful number, since it uses less digits than its factorization.

313023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 313023100 is about 17692.4588455082. The cubic root of 313023100 is about 678.9828362336.

Adding to 313023100 its reverse (1320313), we get a palindrome (314343413).

The spelling of 313023100 in words is "three hundred thirteen million, twenty-three thousand, one hundred".