100100133113220 has 72 divisors (see below), whose sum is σ = 311843477773464. Its totient is φ = 25971926427648.

The previous prime is 100100133113207. The next prime is 100100133113251. The reversal of 100100133113220 is 22311331001001.

100100133113220 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 1 + 331 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7976647895616 + 92123485217604 = 2824296^2 + 9598098^2 .

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 = 100100133113193 and 100100133113202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7515018349 + ... + 7515031668.

Almost surely, 2^{100100133113220} is an apocalyptic number.

100100133113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100133113220 is an abundant number, since it is smaller than the sum of its proper divisors (211743344660244).

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

100100133113220 is a wasteful number, since it uses less digits than its factorization.

100100133113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15030050069 (or 15030050064 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100100133113220 its reverse (22311331001001), we get a palindrome (122411464114221).

The spelling of 100100133113220 in words is "one hundred trillion, one hundred billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred twenty".