100203133112131 has 16 divisors (see below), whose sum is σ = 119731672166400. Its totient is φ = 81992718501408.

The previous prime is 100203133112087. The next prime is 100203133112161. The reversal of 100203133112131 is 131211331302001.

It is a cyclic number.

It is not a de Polignac number, because 100203133112131 - 2⁷ = 100203133112003 is a prime.

It is a super-2 number, since 2×100203133112131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100203133112161) 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, 611293011 + ... + 611456908.

It is an arithmetic number, because the mean of its divisors is an integer number (7483229510400).

Almost surely, 2^{100203133112131} is an apocalyptic number.

100203133112131 is a deficient number, since it is larger than the sum of its proper divisors (19528539054269).

100203133112131 is a wasteful number, since it uses less digits than its factorization.

100203133112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222750458.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100203133112131 its reverse (131211331302001), we get a palindrome (231414464414132).

The spelling of 100203133112131 in words is "one hundred trillion, two hundred three billion, one hundred thirty-three million, one hundred twelve thousand, one hundred thirty-one".