102023232013 has 16 divisors (see below), whose sum is σ = 111428812080. Its totient is φ = 93018571776.

The previous prime is 102023232011. The next prime is 102023232071. The reversal of 102023232013 is 310232320201.

It can be written as a sum of positive squares in 8 ways, for example, as 51045720489 + 50977511524 = 225933^2 + 225782^2 .

It is a cyclic number.

It is not a de Polignac number, because 102023232013 - 2¹ = 102023232011 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 (102023232011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 210106 + ... + 498187.

It is an arithmetic number, because the mean of its divisors is an integer number (6964300755).

Almost surely, 2^102023232013 is an apocalyptic number.

It is an amenable number.

102023232013 is a deficient number, since it is larger than the sum of its proper divisors (9405580067).

102023232013 is a wasteful number, since it uses less digits than its factorization.

102023232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708576.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102023232013 its reverse (310232320201), we get a palindrome (412255552214).

The spelling of 102023232013 in words is "one hundred two billion, twenty-three million, two hundred thirty-two thousand, thirteen".