100431133002 has 96 divisors (see below), whose sum is σ = 236893123584. Its totient is φ = 30621888000.

The previous prime is 100431132913. The next prime is 100431133079. The reversal of 100431133002 is 200331134001.

100431133002 is a `hidden beast` number, since 100 + 431 + 133 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11215627 + ... + 11224577.

It is an arithmetic number, because the mean of its divisors is an integer number (2467636704).

Almost surely, 2^100431133002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100431133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118446561792).

100431133002 is an abundant number, since it is smaller than the sum of its proper divisors (136461990582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100431133002 is a wasteful number, since it uses less digits than its factorization.

100431133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100431133002 its reverse (200331134001), we get a palindrome (300762267003).

Subtracting 100431133002 from its reverse (200331134001), we obtain a palindrome (99900000999).

The spelling of 100431133002 in words is "one hundred billion, four hundred thirty-one million, one hundred thirty-three thousand, two".