102333031232513 has 2 divisors, whose sum is σ = 102333031232514. Its totient is φ = 102333031232512.

The previous prime is 102333031232501. The next prime is 102333031232581. The reversal of 102333031232513 is 315232130333201.

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., 84078501541489 + 18254529691024 = 9169433^2 + 4272532^2 .

It is a cyclic number.

It is not a de Polignac number, because 102333031232513 - 2²⁴ = 102333014455297 is a prime.

It is a super-2 number, since 2×102333031232513² (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 102333031232513.

It is not a weakly prime, because it can be changed into another prime (102333031231513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51166515616256 + 51166515616257.

It is an arithmetic number, because the mean of its divisors is an integer number (51166515616257).

Almost surely, 2^{102333031232513} is an apocalyptic number.

It is an amenable number.

102333031232513 is a deficient number, since it is larger than the sum of its proper divisors (1).

102333031232513 is an equidigital number, since it uses as much as digits as its factorization.

102333031232513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 32.

Adding to 102333031232513 its reverse (315232130333201), we get a palindrome (417565161565714).

The spelling of 102333031232513 in words is "one hundred two trillion, three hundred thirty-three billion, thirty-one million, two hundred thirty-two thousand, five hundred thirteen".