2131102312001 has 64 divisors (see below), whose sum is σ = 2550866411520. Its totient is φ = 1762337191680.

The previous prime is 2131102311997. The next prime is 2131102312013. The reversal of 2131102312001 is 1002132011312.

It is not a de Polignac number, because 2131102312001 - 2² = 2131102311997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131102312201) 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 63 ways as a sum of consecutive naturals, for example, 243633710 + ... + 243642456.

It is an arithmetic number, because the mean of its divisors is an integer number (39857287680).

Almost surely, 2^{2131102312001} is an apocalyptic number.

It is an amenable number.

2131102312001 is a deficient number, since it is larger than the sum of its proper divisors (419764099519).

2131102312001 is a wasteful number, since it uses less digits than its factorization.

2131102312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2131102312001 its reverse (1002132011312), we get a palindrome (3133234323313).

The spelling of 2131102312001 in words is "two trillion, one hundred thirty-one billion, one hundred two million, three hundred twelve thousand, one".