2131222122013 has 2 divisors, whose sum is σ = 2131222122014. Its totient is φ = 2131222122012.

The previous prime is 2131222121981. The next prime is 2131222122019. The reversal of 2131222122013 is 3102212221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1686990540964 + 444231581049 = 1298842^2 + 666507^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131222122013 - 2⁵ = 2131222121981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131222122019) 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, 1065611061006 + 1065611061007.

It is an arithmetic number, because the mean of its divisors is an integer number (1065611061007).

Almost surely, 2^{2131222122013} is an apocalyptic number.

It is an amenable number.

2131222122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131222122013 is an equidigital number, since it uses as much as digits as its factorization.

2131222122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2131222122013 its reverse (3102212221312), we get a palindrome (5233434343325).

The spelling of 2131222122013 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, thirteen".