100313311320 has 96 divisors (see below), whose sum is σ = 326672190000. Its totient is φ = 26696560896.

The previous prime is 100313311253. The next prime is 100313311321. The reversal of 100313311320 is 23113313001.

It is a happy number.

100313311320 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 3 + 311 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100313311293 and 100313311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313311321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99567 + ... + 458846.

Almost surely, 2^100313311320 is an apocalyptic number.

100313311320 is a gapful number since it is divisible by the number (10) 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 100313311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163336095000).

100313311320 is an abundant number, since it is smaller than the sum of its proper divisors (226358878680).

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

100313311320 is a wasteful number, since it uses less digits than its factorization.

100313311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558929 (or 558922 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100313311320 its reverse (23113313001), we get a palindrome (123426624321).

The spelling of 100313311320 in words is "one hundred billion, three hundred thirteen million, three hundred eleven thousand, three hundred twenty".