100131013130001 has 32 divisors (see below), whose sum is σ = 153615756288000. Its totient is φ = 56829590642880.

The previous prime is 100131013129997. The next prime is 100131013130039. The reversal of 100131013130001 is 100031310131001.

It is not a de Polignac number, because 100131013130001 - 2² = 100131013129997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100131013130201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42274536 + ... + 44580246.

It is an arithmetic number, because the mean of its divisors is an integer number (4800492384000).

Almost surely, 2^{100131013130001} is an apocalyptic number.

It is an amenable number.

100131013130001 is a deficient number, since it is larger than the sum of its proper divisors (53484743157999).

100131013130001 is a wasteful number, since it uses less digits than its factorization.

100131013130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319749.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100131013130001 its reverse (100031310131001), we get a palindrome (200162323261002).

The spelling of 100131013130001 in words is "one hundred trillion, one hundred thirty-one billion, thirteen million, one hundred thirty thousand, one".