102133312323013 has 4 divisors (see below), whose sum is σ = 102176207458668. Its totient is φ = 102090417187360.

The previous prime is 102133312322963. The next prime is 102133312323079. The reversal of 102133312323013 is 310323213331201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 23908804253569 + 78224508069444 = 4889663^2 + 8844462^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133312323013 - 2²¹ = 102133310225861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133312323113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21447564256 + ... + 21447569017.

It is an arithmetic number, because the mean of its divisors is an integer number (25544051864667).

Almost surely, 2^{102133312323013} is an apocalyptic number.

It is an amenable number.

102133312323013 is a deficient number, since it is larger than the sum of its proper divisors (42895135655).

102133312323013 is an equidigital number, since it uses as much as digits as its factorization.

102133312323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42895135654.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 102133312323013 its reverse (310323213331201), we get a palindrome (412456525654214).

The spelling of 102133312323013 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred twelve million, three hundred twenty-three thousand, thirteen".