102112333313 has 2 divisors, whose sum is σ = 102112333314. Its totient is φ = 102112333312.

The previous prime is 102112333303. The next prime is 102112333333. The reversal of 102112333313 is 313333211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73236808129 + 28875525184 = 270623^2 + 169928^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112333313 - 2²⁴ = 102095556097 is a prime.

It is a super-2 number, since 2×102112333313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102112333303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056166656 + 51056166657.

It is an arithmetic number, because the mean of its divisors is an integer number (51056166657).

Almost surely, 2^102112333313 is an apocalyptic number.

It is an amenable number.

102112333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112333313 is an equidigital number, since it uses as much as digits as its factorization.

102112333313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 102112333313 its reverse (313333211201), we get a palindrome (415445544514).

The spelling of 102112333313 in words is "one hundred two billion, one hundred twelve million, three hundred thirty-three thousand, three hundred thirteen".