100133133320 has 64 divisors (see below), whose sum is σ = 245878986240. Its totient is φ = 36397580800.

The previous prime is 100133133313. The next prime is 100133133341. The reversal of 100133133320 is 23331331001.

It is a super-3 number, since 3×100133133320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100133133292 and 100133133301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096124 + ... + 1183956.

It is an arithmetic number, because the mean of its divisors is an integer number (3841859160).

Almost surely, 2^100133133320 is an apocalyptic number.

100133133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133133320 is an abundant number, since it is smaller than the sum of its proper divisors (145745852920).

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

100133133320 is a wasteful number, since it uses less digits than its factorization.

100133133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90446 (or 90442 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100133133320 its reverse (23331331001), we get a palindrome (123464464321).

The spelling of 100133133320 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twenty".