2131033200013 has 2 divisors, whose sum is σ = 2131033200014. Its totient is φ = 2131033200012.

The previous prime is 2131033200007. The next prime is 2131033200031. The reversal of 2131033200013 is 3100023301312.

Together with next prime (2131033200031) 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., 1596477736324 + 534555463689 = 1263518^2 + 731133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2131033200013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131033290013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065516600006 + 1065516600007.

It is an arithmetic number, because the mean of its divisors is an integer number (1065516600007).

Almost surely, 2^{2131033200013} is an apocalyptic number.

It is an amenable number.

2131033200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131033200013 is an equidigital number, since it uses as much as digits as its factorization.

2131033200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2131033200013 its reverse (3100023301312), we get a palindrome (5231056501325).

The spelling of 2131033200013 in words is "two trillion, one hundred thirty-one billion, thirty-three million, two hundred thousand, thirteen".