113205020401 has 6 divisors (see below), whose sum is σ = 124431964706. Its totient is φ = 102913654800.

The previous prime is 113205020387. The next prime is 113205020413. The reversal of 113205020401 is 104020502311.

It can be written as a sum of positive squares in only one way, i.e., 108464835600 + 4740184801 = 329340^2 + 68849^2 .

It is not a de Polignac number, because 113205020401 - 2¹⁹ = 113204496113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113205020471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 467789220 + ... + 467789461.

Almost surely, 2^113205020401 is an apocalyptic number.

113205020401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113205020401 is a deficient number, since it is larger than the sum of its proper divisors (11226944305).

113205020401 is an equidigital number, since it uses as much as digits as its factorization.

113205020401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935578703 (or 935578692 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 113205020401 its reverse (104020502311), we get a palindrome (217225522712).

The spelling of 113205020401 in words is "one hundred thirteen billion, two hundred five million, twenty thousand, four hundred one".