2131023013213 has 2 divisors, whose sum is σ = 2131023013214. Its totient is φ = 2131023013212.

The previous prime is 2131023013199. The next prime is 2131023013267. The reversal of 2131023013213 is 3123103201312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2130353342329 + 669670884 = 1459573^2 + 25878^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131023013213 - 2¹⁷ = 2131022882141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131023013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065511506606 + 1065511506607.

It is an arithmetic number, because the mean of its divisors is an integer number (1065511506607).

Almost surely, 2^{2131023013213} is an apocalyptic number.

It is an amenable number.

2131023013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131023013213 is an equidigital number, since it uses as much as digits as its factorization.

2131023013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2131023013213 its reverse (3123103201312), we get a palindrome (5254126214525).

The spelling of 2131023013213 in words is "two trillion, one hundred thirty-one billion, twenty-three million, thirteen thousand, two hundred thirteen".