20110113 has 40 divisors (see below), whose sum is σ = 32234400. Its totient is φ = 12457152.

The previous prime is 20110109. The next prime is 20110141. The reversal of 20110113 is 31101102.

It is not a de Polignac number, because 20110113 - 2² = 20110109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20110095 and 20110104.

It is not an unprimeable number, because it can be changed into a prime (20110183) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112258 + ... + 112436.

It is an arithmetic number, because the mean of its divisors is an integer number (805860).

Almost surely, 2^20110113 is an apocalyptic number.

It is an amenable number.

20110113 is a deficient number, since it is larger than the sum of its proper divisors (12124287).

20110113 is a wasteful number, since it uses less digits than its factorization.

20110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 20110113 is about 4484.4300641219. The cubic root of 20110113 is about 271.9390046693.

Adding to 20110113 its reverse (31101102), we get a palindrome (51211215).

The spelling of 20110113 in words is "twenty million, one hundred ten thousand, one hundred thirteen".