102202130313133 has 8 divisors (see below), whose sum is σ = 102260488400280. Its totient is φ = 102143776392000.

The previous prime is 102202130313121. The next prime is 102202130313169. The reversal of 102202130313133 is 331313031202201.

It can be written as a sum of positive squares in 4 ways, for example, as 1798014409 + 102200332298724 = 42403^2 + 10109418^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102202130313133 - 2⁹ = 102202130312621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202130313098 and 102202130313107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202130313433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48715063 + ... + 50769691.

It is an arithmetic number, because the mean of its divisors is an integer number (12782561050035).

Almost surely, 2^{102202130313133} is an apocalyptic number.

It is an amenable number.

102202130313133 is a deficient number, since it is larger than the sum of its proper divisors (58358087147).

102202130313133 is a wasteful number, since it uses less digits than its factorization.

102202130313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083007.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102202130313133 its reverse (331313031202201), we get a palindrome (433515161515334).

The spelling of 102202130313133 in words is "one hundred two trillion, two hundred two billion, one hundred thirty million, three hundred thirteen thousand, one hundred thirty-three".