100312133220 has 72 divisors (see below), whose sum is σ = 327686309496. Its totient is φ = 24692216832.

The previous prime is 100312133219. The next prime is 100312133293. The reversal of 100312133220 is 22331213001.

100312133220 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 1 + 332 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 799645284 + 99512487936 = 28278^2 + 315456^2 .

It is a super-2 number, since 2×100312133220² (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 = 100312133193 and 100312133202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21431877 + ... + 21436556.

It is an arithmetic number, because the mean of its divisors is an integer number (4551198743).

Almost surely, 2^100312133220 is an apocalyptic number.

100312133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312133220 is an abundant number, since it is smaller than the sum of its proper divisors (227374176276).

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

100312133220 is a wasteful number, since it uses less digits than its factorization.

100312133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42868461 (or 42868456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100312133220 its reverse (22331213001), we get a palindrome (122643346221).

The spelling of 100312133220 in words is "one hundred billion, three hundred twelve million, one hundred thirty-three thousand, two hundred twenty".