102213313313329 has 16 divisors (see below), whose sum is σ = 102623405976000. Its totient is φ = 101804075668224.

The previous prime is 102213313313129. The next prime is 102213313313333. The reversal of 102213313313329 is 923313313312201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102213313313329 is a prime.

It is a super-2 number, since 2×102213313313329² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213313313389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3138345757 + ... + 3138378325.

It is an arithmetic number, because the mean of its divisors is an integer number (6413962873500).

Almost surely, 2^{102213313313329} is an apocalyptic number.

It is an amenable number.

102213313313329 is a deficient number, since it is larger than the sum of its proper divisors (410092662671).

102213313313329 is a wasteful number, since it uses less digits than its factorization.

102213313313329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45312.

The product of its (nonzero) digits is 52488, while the sum is 37.

The spelling of 102213313313329 in words is "one hundred two trillion, two hundred thirteen billion, three hundred thirteen million, three hundred thirteen thousand, three hundred twenty-nine".