102132330013300 has 36 divisors (see below), whose sum is σ = 221637263782060. Its totient is φ = 40851068843520.

The previous prime is 102132330013261. The next prime is 102132330013319. The reversal of 102132330013300 is 3310033231201.

It can be written as a sum of positive squares in 6 ways, for example, as 20766084948324 + 81366245064976 = 4556982^2 + 9020324^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21084855 + ... + 25472254.

Almost surely, 2^{102132330013300} is an apocalyptic number.

102132330013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132330013300 is an abundant number, since it is smaller than the sum of its proper divisors (119504933768760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132330013300 is a wasteful number, since it uses less digits than its factorization.

102132330013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46579060 (or 46579053 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 102132330013300 its reverse (3310033231201), we get a palindrome (105442363244501).

The spelling of 102132330013300 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty million, thirteen thousand, three hundred".