313100123120 has 80 divisors (see below), whose sum is σ = 737131570560. Its totient is φ = 123663420672.

The previous prime is 313100123081. The next prime is 313100123153. The reversal of 313100123120 is 21321001313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13128647 + ... + 13152473.

It is an arithmetic number, because the mean of its divisors is an integer number (9214144632).

Almost surely, 2^313100123120 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 313100123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368565785280).

313100123120 is an abundant number, since it is smaller than the sum of its proper divisors (424031447440).

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

313100123120 is a wasteful number, since it uses less digits than its factorization.

313100123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25902 (or 25896 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 313100123120 its reverse (21321001313), we get a palindrome (334421124433).

The spelling of 313100123120 in words is "three hundred thirteen billion, one hundred million, one hundred twenty-three thousand, one hundred twenty".