102013233032013 has 16 divisors (see below), whose sum is σ = 136305046563840. Its totient is φ = 67865215467056.

The previous prime is 102013233031979. The next prime is 102013233032047. The reversal of 102013233032013 is 310230332310201.

It is an interprime number because it is at equal distance from previous prime (102013233031979) and next prime (102013233032047).

It is a cyclic number.

It is not a de Polignac number, because 102013233032013 - 2²⁰ = 102013231983437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013233032063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7527603 + ... + 16145936.

It is an arithmetic number, because the mean of its divisors is an integer number (8519065410240).

Almost surely, 2^{102013233032013} is an apocalyptic number.

It is an amenable number.

102013233032013 is a deficient number, since it is larger than the sum of its proper divisors (34291813531827).

102013233032013 is a wasteful number, since it uses less digits than its factorization.

102013233032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676576.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102013233032013 its reverse (310230332310201), we get a palindrome (412243565342214).

The spelling of 102013233032013 in words is "one hundred two trillion, thirteen billion, two hundred thirty-three million, thirty-two thousand, thirteen".