113013433 has 16 divisors (see below), whose sum is σ = 129272976. Its totient is φ = 97873920.

The previous prime is 113013413. The next prime is 113013443. The reversal of 113013433 is 334310311.

It can be written as a sum of positive squares in 8 ways, for example, as 59049 + 112954384 = 243^2 + 10628^2 .

It is a cyclic number.

It is not a de Polignac number, because 113013433 - 2⁵ = 113013401 is a prime.

It is a super-3 number, since 3×113013433³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113013433.

It is not an unprimeable number, because it can be changed into a prime (113013413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95103 + ... + 96283.

It is an arithmetic number, because the mean of its divisors is an integer number (8079561).

Almost surely, 2^113013433 is an apocalyptic number.

113013433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113013433 is a deficient number, since it is larger than the sum of its proper divisors (16259543).

113013433 is a wasteful number, since it uses less digits than its factorization.

113013433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 113013433 is about 10630.7776291295. Note that the first 3 decimals coincide. The cubic root of 113013433 is about 483.4779691858.

Adding to 113013433 its reverse (334310311), we get a palindrome (447323744).

The spelling of 113013433 in words is "one hundred thirteen million, thirteen thousand, four hundred thirty-three".