313124020344100 has 144 divisors (see below), whose sum is σ = 787475070592000. Its totient is φ = 105847175761920.

The previous prime is 313124020344071. The next prime is 313124020344169. The reversal of 313124020344100 is 1443020421313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 137814076 + ... + 140067724.

Almost surely, 2^{313124020344100} 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 313124020344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393737535296000).

313124020344100 is an abundant number, since it is smaller than the sum of its proper divisors (474351050247900).

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

313124020344100 is a wasteful number, since it uses less digits than its factorization.

313124020344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256462 (or 2256455 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313124020344100 its reverse (1443020421313), we get a palindrome (314567040765413).

The spelling of 313124020344100 in words is "three hundred thirteen trillion, one hundred twenty-four billion, twenty million, three hundred forty-four thousand, one hundred".