113433306 has 64 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 29946240.

The previous prime is 113433301. The next prime is 113433311. The reversal of 113433306 is 603334311.

113433306 = 1184² + 1185² + ... + 1259².

It is an interprime number because it is at equal distance from previous prime (113433301) and next prime (113433311).

It is a super-2 number, since 2×113433306² = 25734229820179272, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113433301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30985 + ... + 34451.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2^113433306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113433306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

113433306 is an abundant number, since it is smaller than the sum of its proper divisors (166226214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113433306 is a wasteful number, since it uses less digits than its factorization.

113433306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 113433306 is about 10650.5073118608. The cubic root of 113433306 is about 484.0759761658.

Adding to 113433306 its reverse (603334311), we get a palindrome (716767617).

The spelling of 113433306 in words is "one hundred thirteen million, four hundred thirty-three thousand, three hundred six".