102313300513 has 2 divisors, whose sum is σ = 102313300514. Its totient is φ = 102313300512.

The previous prime is 102313300489. The next prime is 102313300547. The reversal of 102313300513 is 315003313201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68818078224 + 33495222289 = 262332^2 + 183017^2 .

It is a cyclic number.

It is not a de Polignac number, because 102313300513 - 2²⁵ = 102279746081 is a prime.

It is a super-2 number, since 2×102313300513² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102313301513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51156650256 + 51156650257.

It is an arithmetic number, because the mean of its divisors is an integer number (51156650257).

Almost surely, 2^102313300513 is an apocalyptic number.

It is an amenable number.

102313300513 is a deficient number, since it is larger than the sum of its proper divisors (1).

102313300513 is an equidigital number, since it uses as much as digits as its factorization.

102313300513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 102313300513 its reverse (315003313201), we get a palindrome (417316613714).

The spelling of 102313300513 in words is "one hundred two billion, three hundred thirteen million, three hundred thousand, five hundred thirteen".