313123103200 has 72 divisors (see below), whose sum is σ = 765569516040. Its totient is φ = 125059545600.

The previous prime is 313123103177. The next prime is 313123103203. The reversal of 313123103200 is 2301321313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123103203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232731 + ... + 824869.

It is an arithmetic number, because the mean of its divisors is an integer number (10632909945).

Almost surely, 2^313123103200 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 313123103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382784758020).

313123103200 is an abundant number, since it is smaller than the sum of its proper divisors (452446412840).

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

313123103200 is a wasteful number, since it uses less digits than its factorization.

313123103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592820 (or 592807 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 313123103200 its reverse (2301321313), we get a palindrome (315424424513).

The spelling of 313123103200 in words is "three hundred thirteen billion, one hundred twenty-three million, one hundred three thousand, two hundred".