102132332302313 has 2 divisors, whose sum is σ = 102132332302314. Its totient is φ = 102132332302312.

The previous prime is 102132332302267. The next prime is 102132332302433. The reversal of 102132332302313 is 313203233231201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89346580238224 + 12785752064089 = 9452332^2 + 3575717^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132332302313 - 2⁶ = 102132332302249 is a prime.

It is a super-3 number, since 3×102132332302313³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102132332302613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066166151156 + 51066166151157.

It is an arithmetic number, because the mean of its divisors is an integer number (51066166151157).

Almost surely, 2^{102132332302313} is an apocalyptic number.

It is an amenable number.

102132332302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132332302313 is an equidigital number, since it uses as much as digits as its factorization.

102132332302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 102132332302313 its reverse (313203233231201), we get a palindrome (415335565533514).

The spelling of 102132332302313 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred two thousand, three hundred thirteen".