102113213313131 has 2 divisors, whose sum is σ = 102113213313132. Its totient is φ = 102113213313130.

The previous prime is 102113213313109. The next prime is 102113213313149. The reversal of 102113213313131 is 131313312311201.

It is a strong prime.

It is an emirp because it is prime and its reverse (131313312311201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102113213313131 is a prime.

It is a super-2 number, since 2×102113213313131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102113213313131.

It is not a weakly prime, because it can be changed into another prime (102113213313431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056606656565 + 51056606656566.

It is an arithmetic number, because the mean of its divisors is an integer number (51056606656566).

Almost surely, 2^{102113213313131} is an apocalyptic number.

102113213313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113213313131 is an equidigital number, since it uses as much as digits as its factorization.

102113213313131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 102113213313131 its reverse (131313312311201), we get a palindrome (233426525624332).

The spelling of 102113213313131 in words is "one hundred two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred thirteen thousand, one hundred thirty-one".