102827591293313 has 2 divisors, whose sum is σ = 102827591293314. Its totient is φ = 102827591293312.

The previous prime is 102827591293307. The next prime is 102827591293321. The reversal of 102827591293313 is 313392195728201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102805465325809 + 22125967504 = 10139303^2 + 148748^2 .

It is a cyclic number.

It is not a de Polignac number, because 102827591293313 - 2⁸ = 102827591293057 is a prime.

It is not a weakly prime, because it can be changed into another prime (102827591293363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51413795646656 + 51413795646657.

It is an arithmetic number, because the mean of its divisors is an integer number (51413795646657).

Almost surely, 2^{102827591293313} is an apocalyptic number.

It is an amenable number.

102827591293313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827591293313 is an equidigital number, since it uses as much as digits as its factorization.

102827591293313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 102827591293313 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-three thousand, three hundred thirteen".