313344031100100 has 2592 divisors, whose sum is σ = 1309416977949696. Its totient is φ = 57109706035200.

The previous prime is 313344031100071. The next prime is 313344031100119. The reversal of 313344031100100 is 1001130443313.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 43477730697 + ... + 43477737903.

Almost surely, 2^{313344031100100} is an apocalyptic number.

313344031100100 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 313344031100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654708488974848).

313344031100100 is an abundant number, since it is smaller than the sum of its proper divisors (996072946849596).

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

313344031100100 is a wasteful number, since it uses less digits than its factorization.

313344031100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 313344031100100 its reverse (1001130443313), we get a palindrome (314345161543413).

The spelling of 313344031100100 in words is "three hundred thirteen trillion, three hundred forty-four billion, thirty-one million, one hundred thousand, one hundred".