102213113212319 has 2 divisors, whose sum is σ = 102213113212320. Its totient is φ = 102213113212318.

The previous prime is 102213113212283. The next prime is 102213113212361. The reversal of 102213113212319 is 913212311312201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102213113212319 - 2¹⁶ = 102213113146783 is a prime.

It is a super-2 number, since 2×102213113212319² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213113214319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106556606159 + 51106556606160.

It is an arithmetic number, because the mean of its divisors is an integer number (51106556606160).

Almost surely, 2^{102213113212319} is an apocalyptic number.

102213113212319 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213113212319 is an equidigital number, since it uses as much as digits as its factorization.

102213113212319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 102213113212319 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, three hundred nineteen".