102213313313129 has 2 divisors, whose sum is σ = 102213313313130. Its totient is φ = 102213313313128.

The previous prime is 102213313313117. The next prime is 102213313313333. The reversal of 102213313313129 is 921313313312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102210381307225 + 2932005904 = 10109915^2 + 54148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102213313313129 is a prime.

It is a super-2 number, since 2×102213313313129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102213315313129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106656656564 + 51106656656565.

It is an arithmetic number, because the mean of its divisors is an integer number (51106656656565).

Almost surely, 2^{102213313313129} is an apocalyptic number.

It is an amenable number.

102213313313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213313313129 is an equidigital number, since it uses as much as digits as its factorization.

102213313313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 102213313313129 in words is "one hundred two trillion, two hundred thirteen billion, three hundred thirteen million, three hundred thirteen thousand, one hundred twenty-nine".