2102332131329 has 2 divisors, whose sum is σ = 2102332131330. Its totient is φ = 2102332131328.

The previous prime is 2102332131253. The next prime is 2102332131373. The reversal of 2102332131329 is 9231312332012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1743139278400 + 359192852929 = 1320280^2 + 599327^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102332131329 - 2⁸ = 2102332131073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102332131295 and 2102332131304.

It is not a weakly prime, because it can be changed into another prime (2102332133329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051166065664 + 1051166065665.

It is an arithmetic number, because the mean of its divisors is an integer number (1051166065665).

Almost surely, 2^{2102332131329} is an apocalyptic number.

It is an amenable number.

2102332131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102332131329 is an equidigital number, since it uses as much as digits as its factorization.

2102332131329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 2102332131329 in words is "two trillion, one hundred two billion, three hundred thirty-two million, one hundred thirty-one thousand, three hundred twenty-nine".