313012121100 has 72 divisors (see below), whose sum is σ = 1035026754048. Its totient is φ = 71545627200.

The previous prime is 313012121063. The next prime is 313012121119. The reversal of 313012121100 is 1121210313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313012121100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74524596 + ... + 74528795.

It is an arithmetic number, because the mean of its divisors is an integer number (14375371584).

Almost surely, 2^313012121100 is an apocalyptic number.

313012121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313012121100 is an abundant number, since it is smaller than the sum of its proper divisors (722014632948).

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

313012121100 is a wasteful number, since it uses less digits than its factorization.

313012121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149053415 (or 149053408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 313012121100 its reverse (1121210313), we get a palindrome (314133331413).

The spelling of 313012121100 in words is "three hundred thirteen billion, twelve million, one hundred twenty-one thousand, one hundred".