100133323200031 has 16 divisors (see below), whose sum is σ = 112976536237056. Its totient is φ = 87924746520000.

The previous prime is 100133323200019. The next prime is 100133323200037. The reversal of 100133323200031 is 130002323331001.

It is a cyclic number.

It is not a de Polignac number, because 100133323200031 - 2⁵ = 100133323199999 is a prime.

It is a super-2 number, since 2×100133323200031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133323199975 and 100133323200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133323200037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281632425 + ... + 281987746.

It is an arithmetic number, because the mean of its divisors is an integer number (7061033514816).

Almost surely, 2^{100133323200031} is an apocalyptic number.

100133323200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100133323200031 is a deficient number, since it is larger than the sum of its proper divisors (12843213037025).

100133323200031 is a wasteful number, since it uses less digits than its factorization.

100133323200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563620734.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100133323200031 its reverse (130002323331001), we get a palindrome (230135646531032).

The spelling of 100133323200031 in words is "one hundred trillion, one hundred thirty-three billion, three hundred twenty-three million, two hundred thousand, thirty-one".