10113113002201 has 24 divisors (see below), whose sum is σ = 11834585716608. Its totient is φ = 8567073324000.

The previous prime is 10113113002189. The next prime is 10113113002231. The reversal of 10113113002201 is 10220031131101.

It is a happy number.

It is not a de Polignac number, because 10113113002201 - 2¹⁵ = 10113112969433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113113002231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20632705 + ... + 21117166.

It is an arithmetic number, because the mean of its divisors is an integer number (493107738192).

Almost surely, 2^{10113113002201} is an apocalyptic number.

10113113002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10113113002201 is a deficient number, since it is larger than the sum of its proper divisors (1721472714407).

10113113002201 is a wasteful number, since it uses less digits than its factorization.

10113113002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41749981 (or 41749962 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10113113002201 its reverse (10220031131101), we get a palindrome (20333144133302).

The spelling of 10113113002201 in words is "ten trillion, one hundred thirteen billion, one hundred thirteen million, two thousand, two hundred one".