2131210100993 has 2 divisors, whose sum is σ = 2131210100994. Its totient is φ = 2131210100992.

The previous prime is 2131210100953. The next prime is 2131210101019. The reversal of 2131210100993 is 3990010121312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1701519362929 + 429690738064 = 1304423^2 + 655508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2131210100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2131210100953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065605050496 + 1065605050497.

It is an arithmetic number, because the mean of its divisors is an integer number (1065605050497).

Almost surely, 2^{2131210100993} is an apocalyptic number.

It is an amenable number.

2131210100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131210100993 is an equidigital number, since it uses as much as digits as its factorization.

2131210100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 2131210100993 in words is "two trillion, one hundred thirty-one billion, two hundred ten million, one hundred thousand, nine hundred ninety-three".