21312130102001 has 16 divisors (see below), whose sum is σ = 21471069988368. Its totient is φ = 21153721478400.

The previous prime is 21312130101989. The next prime is 21312130102013. The reversal of 21312130102001 is 10020103121312.

It is an interprime number because it is at equal distance from previous prime (21312130101989) and next prime (21312130102013).

It can be written as a sum of positive squares in 8 ways, for example, as 608674590976 + 20703455511025 = 780176^2 + 4550105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21312130102001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21312130102031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517000571 + ... + 517041791.

It is an arithmetic number, because the mean of its divisors is an integer number (1341941874273).

Almost surely, 2^{21312130102001} is an apocalyptic number.

It is an amenable number.

21312130102001 is a deficient number, since it is larger than the sum of its proper divisors (158939886367).

21312130102001 is a wasteful number, since it uses less digits than its factorization.

21312130102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47572.

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

Adding to 21312130102001 its reverse (10020103121312), we get a palindrome (31332233223313).

The spelling of 21312130102001 in words is "twenty-one trillion, three hundred twelve billion, one hundred thirty million, one hundred two thousand, one".