2213312102329 has 2 divisors, whose sum is σ = 2213312102330. Its totient is φ = 2213312102328.

The previous prime is 2213312102317. The next prime is 2213312102347. The reversal of 2213312102329 is 9232012133122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1975092944400 + 238219157929 = 1405380^2 + 488077^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213312102329 - 2⁵ = 2213312102297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2213312102329.

It is not a weakly prime, because it can be changed into another prime (2213312102399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106656051164 + 1106656051165.

It is an arithmetic number, because the mean of its divisors is an integer number (1106656051165).

Almost surely, 2^{2213312102329} is an apocalyptic number.

It is an amenable number.

2213312102329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213312102329 is an equidigital number, since it uses as much as digits as its factorization.

2213312102329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 2213312102329 in words is "two trillion, two hundred thirteen billion, three hundred twelve million, one hundred two thousand, three hundred twenty-nine".