91314210213329 has 2 divisors, whose sum is σ = 91314210213330. Its totient is φ = 91314210213328.

The previous prime is 91314210213211. The next prime is 91314210213341. The reversal of 91314210213329 is 92331201241319.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83238252250000 + 8075957963329 = 9123500^2 + 2841823^2 .

It is a cyclic number.

It is not a de Polignac number, because 91314210213329 - 2²⁸ = 91313941777873 is a prime.

It is not a weakly prime, because it can be changed into another prime (91314110213329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45657105106664 + 45657105106665.

It is an arithmetic number, because the mean of its divisors is an integer number (45657105106665).

Almost surely, 2^{91314210213329} is an apocalyptic number.

It is an amenable number.

91314210213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

91314210213329 is an equidigital number, since it uses as much as digits as its factorization.

91314210213329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 91314210213329 in words is "ninety-one trillion, three hundred fourteen billion, two hundred ten million, two hundred thirteen thousand, three hundred twenty-nine".