102232101302013 has 64 divisors (see below), whose sum is σ = 140231045560320. Its totient is φ = 66227547462912.

The previous prime is 102232101302011. The next prime is 102232101302033. The reversal of 102232101302013 is 310203101232201.

It is not a de Polignac number, because 102232101302013 - 2¹ = 102232101302011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232101302011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8296033870 + ... + 8296046192.

It is an arithmetic number, because the mean of its divisors is an integer number (2191110086880).

Almost surely, 2^{102232101302013} is an apocalyptic number.

It is an amenable number.

102232101302013 is a deficient number, since it is larger than the sum of its proper divisors (37998944258307).

102232101302013 is a wasteful number, since it uses less digits than its factorization.

102232101302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102232101302013 its reverse (310203101232201), we get a palindrome (412435202534214).

The spelling of 102232101302013 in words is "one hundred two trillion, two hundred thirty-two billion, one hundred one million, three hundred two thousand, thirteen".