102232133023313 has 2 divisors, whose sum is σ = 102232133023314. Its totient is φ = 102232133023312.

The previous prime is 102232133023277. The next prime is 102232133023357. The reversal of 102232133023313 is 313320331232201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54952316958289 + 47279816065024 = 7412983^2 + 6876032^2 .

It is an emirp because it is prime and its reverse (313320331232201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102232133023313 - 2⁸ = 102232133023057 is a prime.

It is not a weakly prime, because it can be changed into another prime (102232133023913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51116066511656 + 51116066511657.

It is an arithmetic number, because the mean of its divisors is an integer number (51116066511657).

Almost surely, 2^{102232133023313} is an apocalyptic number.

It is an amenable number.

102232133023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102232133023313 is an equidigital number, since it uses as much as digits as its factorization.

102232133023313 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 102232133023313 its reverse (313320331232201), we get a palindrome (415552464255514).

The spelling of 102232133023313 in words is "one hundred two trillion, two hundred thirty-two billion, one hundred thirty-three million, twenty-three thousand, three hundred thirteen".