100313131020 has 96 divisors (see below), whose sum is σ = 284730259968. Its totient is φ = 26384236032.

The previous prime is 100313131013. The next prime is 100313131027. The reversal of 100313131020 is 20131313001.

It is an interprime number because it is at equal distance from previous prime (100313131013) and next prime (100313131027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100313131027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3056337 + ... + 3088983.

It is an arithmetic number, because the mean of its divisors is an integer number (2965940208).

Almost surely, 2^100313131020 is an apocalyptic number.

100313131020 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 100313131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142365129984).

100313131020 is an abundant number, since it is smaller than the sum of its proper divisors (184417128948).

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

100313131020 is a wasteful number, since it uses less digits than its factorization.

100313131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33359 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100313131020 its reverse (20131313001), we get a palindrome (120444444021).

The spelling of 100313131020 in words is "one hundred billion, three hundred thirteen million, one hundred thirty-one thousand, twenty".