10132131000289 has 2 divisors, whose sum is σ = 10132131000290. Its totient is φ = 10132131000288.

The previous prime is 10132131000263. The next prime is 10132131000389. The reversal of 10132131000289 is 98200013123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7487009337600 + 2645121662689 = 2736240^2 + 1626383^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132131000289 - 2²⁵ = 10132097445857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10132131000289.

It is not a weakly prime, because it can be changed into another prime (10132131000389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066065500144 + 5066065500145.

It is an arithmetic number, because the mean of its divisors is an integer number (5066065500145).

Almost surely, 2^{10132131000289} is an apocalyptic number.

It is an amenable number.

10132131000289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132131000289 is an equidigital number, since it uses as much as digits as its factorization.

10132131000289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 10132131000289 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred eighty-nine", and thus it is an aban number.