313123002100 has 72 divisors (see below), whose sum is σ = 704579513400. Its totient is φ = 120642547200.

The previous prime is 313123002007. The next prime is 313123002103. The reversal of 313123002100 is 1200321313.

It can be written as a sum of positive squares in 12 ways, for example, as 89208547684 + 223914454416 = 298678^2 + 473196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092666 + ... + 1349134.

It is an arithmetic number, because the mean of its divisors is an integer number (9785826575).

Almost surely, 2^313123002100 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 313123002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352289756700).

313123002100 is an abundant number, since it is smaller than the sum of its proper divisors (391456511300).

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

313123002100 is a wasteful number, since it uses less digits than its factorization.

313123002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256933 (or 256926 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313123002100 its reverse (1200321313), we get a palindrome (314323323413).

The spelling of 313123002100 in words is "three hundred thirteen billion, one hundred twenty-three million, two thousand, one hundred".