113400353 has 24 divisors (see below), whose sum is σ = 136601640. Its totient is φ = 93632000.

The previous prime is 113400323. The next prime is 113400361. The reversal of 113400353 is 353004311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10316944 + 103083409 = 3212^2 + 10153^2 .

It is not a de Polignac number, because 113400353 - 2¹⁴ = 113383969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113400323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58703 + ... + 60603.

It is an arithmetic number, because the mean of its divisors is an integer number (5691735).

Almost surely, 2^113400353 is an apocalyptic number.

It is an amenable number.

113400353 is a deficient number, since it is larger than the sum of its proper divisors (23201287).

113400353 is a wasteful number, since it uses less digits than its factorization.

113400353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 113400353 is about 10648.9601839804. The cubic root of 113400353 is about 484.0290960470.

Adding to 113400353 its reverse (353004311), we get a palindrome (466404664).

The spelling of 113400353 in words is "one hundred thirteen million, four hundred thousand, three hundred fifty-three".