2131210013 has 2 divisors, whose sum is σ = 2131210014. Its totient is φ = 2131210012.

The previous prime is 2131209973. The next prime is 2131210043. The reversal of 2131210013 is 3100121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1553384569 + 577825444 = 39413^2 + 24038^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131210013 - 2⁸ = 2131209757 is a prime.

It is a super-2 number, since 2×2131210013² = 9084112239022920338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131210043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065605006 + 1065605007.

It is an arithmetic number, because the mean of its divisors is an integer number (1065605007).

Almost surely, 2^2131210013 is an apocalyptic number.

It is an amenable number.

2131210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131210013 is an equidigital number, since it uses as much as digits as its factorization.

2131210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2131210013 is about 46165.0301960261. The cubic root of 2131210013 is about 1286.8919453578.

Adding to 2131210013 its reverse (3100121312), we get a palindrome (5231331325).

The spelling of 2131210013 in words is "two billion, one hundred thirty-one million, two hundred ten thousand, thirteen".