313120010100 has 144 divisors (see below), whose sum is σ = 928828676160. Its totient is φ = 81398553600.

The previous prime is 313120010081. The next prime is 313120010131. The reversal of 313120010100 is 1010021313.

313120010100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6697606 + ... + 6744194.

It is an arithmetic number, because the mean of its divisors is an integer number (6450199140).

Almost surely, 2^313120010100 is an apocalyptic number.

313120010100 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 313120010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464414338080).

313120010100 is an abundant number, since it is smaller than the sum of its proper divisors (615708666060).

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

313120010100 is a wasteful number, since it uses less digits than its factorization.

313120010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47170 (or 47163 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 313120010100 its reverse (1010021313), we get a palindrome (314130031413).

The spelling of 313120010100 in words is "three hundred thirteen billion, one hundred twenty million, ten thousand, one hundred".