102133332013 has 8 divisors (see below), whose sum is σ = 108130212000. Its totient is φ = 96198596208.

The previous prime is 102133331953. The next prime is 102133332023. The reversal of 102133332013 is 310233331201.

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 102133332013 - 2²⁹ = 101596461101 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 (102133332023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15532663 + ... + 15539236.

It is an arithmetic number, because the mean of its divisors is an integer number (13516276500).

Almost surely, 2^102133332013 is an apocalyptic number.

It is an amenable number.

102133332013 is a deficient number, since it is larger than the sum of its proper divisors (5996879987).

102133332013 is a wasteful number, since it uses less digits than its factorization.

102133332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31072091.

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

Adding to 102133332013 its reverse (310233331201), we get a palindrome (412366663214).

The spelling of 102133332013 in words is "one hundred two billion, one hundred thirty-three million, three hundred thirty-two thousand, thirteen".