100133001103131 has 12 divisors (see below), whose sum is σ = 147713930705952. Its totient is φ = 65335007811696.

The previous prime is 100133001103111. The next prime is 100133001103133. The reversal of 100133001103131 is 131301100331001.

100133001103131 is a `hidden beast` number, since 10 + 0 + 1 + 330 + 0 + 1 + 10 + 313 + 1 = 666.

It is not a de Polignac number, because 100133001103131 - 2¹¹ = 100133001101083 is a prime.

It is a super-2 number, since 2×100133001103131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100133001103133) 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 11 ways as a sum of consecutive naturals, for example, 118360520976 + ... + 118360521821.

It is an arithmetic number, because the mean of its divisors is an integer number (12309494225496).

Almost surely, 2^{100133001103131} is an apocalyptic number.

100133001103131 is a deficient number, since it is larger than the sum of its proper divisors (47580929602821).

100133001103131 is a wasteful number, since it uses less digits than its factorization.

100133001103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236721042850 (or 236721042847 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100133001103131 its reverse (131301100331001), we get a palindrome (231434101434132).

The spelling of 100133001103131 in words is "one hundred trillion, one hundred thirty-three billion, one million, one hundred three thousand, one hundred thirty-one".