100132012001331 has 12 divisors (see below), whose sum is σ = 144635589940608. Its totient is φ = 66754461670224.

The previous prime is 100132012001297. The next prime is 100132012001407. The reversal of 100132012001331 is 133100210231001.

100132012001331 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 320 + 12 + 0 + 0 + 1 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100132012001331 is a prime.

It is a super-2 number, since 2×100132012001331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100132012001831) 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 11 ways as a sum of consecutive naturals, for example, 14745660 + ... + 20437673.

It is an arithmetic number, because the mean of its divisors is an integer number (12052965828384).

Almost surely, 2^{100132012001331} is an apocalyptic number.

100132012001331 is a deficient number, since it is larger than the sum of its proper divisors (44503577939277).

100132012001331 is a wasteful number, since it uses less digits than its factorization.

100132012001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35499562 (or 35499559 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100132012001331 its reverse (133100210231001), we get a palindrome (233232222232332).

The spelling of 100132012001331 in words is "one hundred trillion, one hundred thirty-two billion, twelve million, one thousand, three hundred thirty-one".