102113113 has 4 divisors (see below), whose sum is σ = 102196900. Its totient is φ = 102029328.

The previous prime is 102113111. The next prime is 102113117. The reversal of 102113113 is 311311201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82682649 + 19430464 = 9093^2 + 4408^2 .

It is a cyclic number.

It is not a de Polignac number, because 102113113 - 2¹ = 102113111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102113093 and 102113102.

It is not an unprimeable number, because it can be changed into a prime (102113111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40038 + ... + 42511.

It is an arithmetic number, because the mean of its divisors is an integer number (25549225).

Almost surely, 2^102113113 is an apocalyptic number.

It is an amenable number.

102113113 is a deficient number, since it is larger than the sum of its proper divisors (83787).

102113113 is an equidigital number, since it uses as much as digits as its factorization.

102113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83786.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 102113113 is about 10105.1033146623. The cubic root of 102113113 is about 467.4055218156.

Adding to 102113113 its reverse (311311201), we get a palindrome (413424314).

The spelling of 102113113 in words is "one hundred two million, one hundred thirteen thousand, one hundred thirteen".