2131030011013 has 2 divisors, whose sum is σ = 2131030011014. Its totient is φ = 2131030011012.

The previous prime is 2131030011001. The next prime is 2131030011031. The reversal of 2131030011013 is 3101100301312.

Together with next prime (2131030011031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1695664939329 + 435365071684 = 1302177^2 + 659822^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131030011013 - 2¹³ = 2131030002821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131030011113) 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 as a sum of consecutive naturals, namely, 1065515005506 + 1065515005507.

It is an arithmetic number, because the mean of its divisors is an integer number (1065515005507).

Almost surely, 2^{2131030011013} is an apocalyptic number.

It is an amenable number.

2131030011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131030011013 is an equidigital number, since it uses as much as digits as its factorization.

2131030011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2131030011013 its reverse (3101100301312), we get a palindrome (5232130312325).

The spelling of 2131030011013 in words is "two trillion, one hundred thirty-one billion, thirty million, eleven thousand, thirteen".