100313311344 has 80 divisors (see below), whose sum is σ = 265152969600. Its totient is φ = 32669215488.

The previous prime is 100313311327. The next prime is 100313311367. The reversal of 100313311344 is 443113313001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352962 + ... + 570270.

It is an arithmetic number, because the mean of its divisors is an integer number (3314412120).

Almost surely, 2^100313311344 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 100313311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132576484800).

100313311344 is an abundant number, since it is smaller than the sum of its proper divisors (164839658256).

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

100313311344 is a wasteful number, since it uses less digits than its factorization.

100313311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217542 (or 217536 counting only the distinct ones).

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

Adding to 100313311344 its reverse (443113313001), we get a palindrome (543426624345).

The spelling of 100313311344 in words is "one hundred billion, three hundred thirteen million, three hundred eleven thousand, three hundred forty-four".