100131133320 has 48 divisors (see below), whose sum is σ = 325426184460. Its totient is φ = 26701635456.

The previous prime is 100131133303. The next prime is 100131133337. The reversal of 100131133320 is 23331131001.

It is a happy number.

100131133320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 311 + 33 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (100131133303) and next prime (100131133337).

It can be written as a sum of positive squares in 2 ways, for example, as 89220495204 + 10910638116 = 298698^2 + 104454^2 .

It is a super-2 number, since 2×100131133320² (a number of 23 digits) contains 22 as substring.

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 = 100131133293 and 100131133302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139070659 + ... + 139071378.

Almost surely, 2^100131133320 is an apocalyptic number.

100131133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131133320 is an abundant number, since it is smaller than the sum of its proper divisors (225295051140).

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

100131133320 is a wasteful number, since it uses less digits than its factorization.

100131133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278142054 (or 278142047 counting only the distinct ones).

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

Adding to 100131133320 its reverse (23331131001), we get a palindrome (123462264321).

The spelling of 100131133320 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".