2131312101001 has 4 divisors (see below), whose sum is σ = 2131927556992. Its totient is φ = 2130696645012.

The previous prime is 2131312100987. The next prime is 2131312101019. The reversal of 2131312101001 is 1001012131312.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2131312101001 - 2⁷ = 2131312100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131312101301) 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 3 ways as a sum of consecutive naturals, for example, 307722801 + ... + 307729726.

It is an arithmetic number, because the mean of its divisors is an integer number (532981889248).

Almost surely, 2^{2131312101001} is an apocalyptic number.

It is an amenable number.

2131312101001 is a deficient number, since it is larger than the sum of its proper divisors (615455991).

2131312101001 is an equidigital number, since it uses as much as digits as its factorization.

2131312101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615455990.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2131312101001 its reverse (1001012131312), we get a palindrome (3132324232313).

It can be divided in two parts, 213131 and 2101001, that added together give a palindrome (2314132).

The spelling of 2131312101001 in words is "two trillion, one hundred thirty-one billion, three hundred twelve million, one hundred one thousand, one".