313313424100 has 144 divisors (see below), whose sum is σ = 708133301568. Its totient is φ = 120242626560.

The previous prime is 313313424043. The next prime is 313313424103. The reversal of 313313424100 is 1424313313.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (313313424103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57139959 + ... + 57145441.

It is an arithmetic number, because the mean of its divisors is an integer number (4917592372).

Almost surely, 2^313313424100 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 313313424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354066650784).

313313424100 is an abundant number, since it is smaller than the sum of its proper divisors (394819877468).

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

313313424100 is a wasteful number, since it uses less digits than its factorization.

313313424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 313313424100 its reverse (1424313313), we get a palindrome (314737737413).

The spelling of 313313424100 in words is "three hundred thirteen billion, three hundred thirteen million, four hundred twenty-four thousand, one hundred".