100431231301401 has 32 divisors (see below), whose sum is σ = 179792973523968. Its totient is φ = 48158832191040.

The previous prime is 100431231301393. The next prime is 100431231301459. The reversal of 100431231301401 is 104103132134001.

It is a happy number.

It is not a de Polignac number, because 100431231301401 - 2³ = 100431231301393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100431231301801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16721813731 + ... + 16721819736.

It is an arithmetic number, because the mean of its divisors is an integer number (5618530422624).

Almost surely, 2^{100431231301401} is an apocalyptic number.

100431231301401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100431231301401 is a deficient number, since it is larger than the sum of its proper divisors (79361742222567).

100431231301401 is a wasteful number, since it uses less digits than its factorization.

100431231301401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33443633501.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100431231301401 its reverse (104103132134001), we get a palindrome (204534363435402).

The spelling of 100431231301401 in words is "one hundred trillion, four hundred thirty-one billion, two hundred thirty-one million, three hundred one thousand, four hundred one".