10201113113 has 2 divisors, whose sum is σ = 10201113114. Its totient is φ = 10201113112.

The previous prime is 10201113089. The next prime is 10201113179. The reversal of 10201113113 is 31131110201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10200394009 + 719104 = 100997^2 + 848^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201113113 - 2²⁴ = 10184335897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201113913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100556556 + 5100556557.

It is an arithmetic number, because the mean of its divisors is an integer number (5100556557).

Almost surely, 2^10201113113 is an apocalyptic number.

It is an amenable number.

10201113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201113113 is an equidigital number, since it uses as much as digits as its factorization.

10201113113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10201113113 its reverse (31131110201), we get a palindrome (41332223314).

The spelling of 10201113113 in words is "ten billion, two hundred one million, one hundred thirteen thousand, one hundred thirteen".