2129914906513 has 2 divisors, whose sum is σ = 2129914906514. Its totient is φ = 2129914906512.

The previous prime is 2129914906463. The next prime is 2129914906687. The reversal of 2129914906513 is 3156094199212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1265699251089 + 864215655424 = 1125033^2 + 929632^2 .

It is a cyclic number.

It is not a de Polignac number, because 2129914906513 - 2¹⁷ = 2129914775441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2129914916513) 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, 1064957453256 + 1064957453257.

It is an arithmetic number, because the mean of its divisors is an integer number (1064957453257).

Almost surely, 2^{2129914906513} is an apocalyptic number.

It is an amenable number.

2129914906513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2129914906513 is an equidigital number, since it uses as much as digits as its factorization.

2129914906513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 2129914906513 in words is "two trillion, one hundred twenty-nine billion, nine hundred fourteen million, nine hundred six thousand, five hundred thirteen".