313122110100 has 72 divisors (see below), whose sum is σ = 906023364960. Its totient is φ = 83494001280.

The previous prime is 313122110051. The next prime is 313122110201. The reversal of 313122110100 is 1011221313.

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 313122110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8314914 + ... + 8352486.

Almost surely, 2^313122110100 is an apocalyptic number.

313122110100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313122110100 is an abundant number, since it is smaller than the sum of its proper divisors (592901254860).

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

313122110100 is a wasteful number, since it uses less digits than its factorization.

313122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65369 (or 65362 counting only the distinct ones).

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

Adding to 313122110100 its reverse (1011221313), we get a palindrome (314133331413).

It can be divided in two parts, 31312 and 2110100, that added together give a palindrome (2141412).

The spelling of 313122110100 in words is "three hundred thirteen billion, one hundred twenty-two million, one hundred ten thousand, one hundred".