100431134001 has 24 divisors (see below), whose sum is σ = 162532291584. Its totient is φ = 59222288160.

The previous prime is 100431133997. The next prime is 100431134009.

100431134001 is a `hidden beast` number, since 10 + 0 + 4 + 311 + 340 + 0 + 1 = 666.

100431134001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100431134001 - 2² = 100431133997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100431134009) 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 23 ways as a sum of consecutive naturals, for example, 13705201 + ... + 13712526.

It is an arithmetic number, because the mean of its divisors is an integer number (6772178816).

Almost surely, 2^100431134001 is an apocalyptic number.

100431134001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100431134001 is a deficient number, since it is larger than the sum of its proper divisors (62101157583).

100431134001 is a wasteful number, since it uses less digits than its factorization.

100431134001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27417781 (or 27417778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 100431 and 134001, that added together give a palindrome (234432).

The spelling of 100431134001 in words is "one hundred billion, four hundred thirty-one million, one hundred thirty-four thousand, one".