102113213313413 has 2 divisors, whose sum is σ = 102113213313414. Its totient is φ = 102113213313412.

The previous prime is 102113213313283. The next prime is 102113213313427. The reversal of 102113213313413 is 314313312311201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102085198253284 + 28015060129 = 10103722^2 + 167377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102113213313413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102113215313413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056606656706 + 51056606656707.

It is an arithmetic number, because the mean of its divisors is an integer number (51056606656707).

Almost surely, 2^{102113213313413} is an apocalyptic number.

It is an amenable number.

102113213313413 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113213313413 is an equidigital number, since it uses as much as digits as its factorization.

102113213313413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 102113213313413 its reverse (314313312311201), we get a palindrome (416426525624614).

The spelling of 102113213313413 in words is "one hundred two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred thirteen thousand, four hundred thirteen".