102132223232113 has 16 divisors (see below), whose sum is σ = 102672399223296. Its totient is φ = 101592797454720.

The previous prime is 102132223232093. The next prime is 102132223232119. The reversal of 102132223232113 is 311232322231201.

It is a cyclic number.

It is not a de Polignac number, because 102132223232113 - 2⁴⁵ = 66947851143281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132223232119) 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, 5485956381 + ... + 5485974997.

It is an arithmetic number, because the mean of its divisors is an integer number (6417024951456).

Almost surely, 2^{102132223232113} is an apocalyptic number.

It is an amenable number.

102132223232113 is a deficient number, since it is larger than the sum of its proper divisors (540175991183).

102132223232113 is a wasteful number, since it uses less digits than its factorization.

102132223232113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37224.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 102132223232113 its reverse (311232322231201), we get a palindrome (413364545463314).

The spelling of 102132223232113 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred thirteen".