100133002003131 has 48 divisors (see below), whose sum is σ = 153237319085760. Its totient is φ = 62915135754240.

The previous prime is 100133002003109. The next prime is 100133002003163. The reversal of 100133002003131 is 131300200331001.

It is a happy number.

100133002003131 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 0 + 20 + 0 + 313 + 1 = 666.

It is not a de Polignac number, because 100133002003131 - 2⁷ = 100133002003003 is a prime.

It is a super-2 number, since 2×100133002003131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100133002003171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25242055 + ... + 28938336.

It is an arithmetic number, because the mean of its divisors is an integer number (3192444147620).

Almost surely, 2^{100133002003131} is an apocalyptic number.

100133002003131 is a deficient number, since it is larger than the sum of its proper divisors (53104317082629).

100133002003131 is a wasteful number, since it uses less digits than its factorization.

100133002003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54180596 (or 54180593 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133002003131 its reverse (131300200331001), we get a palindrome (231433202334132).

The spelling of 100133002003131 in words is "one hundred trillion, one hundred thirty-three billion, two million, three thousand, one hundred thirty-one".