33113124 has 144 divisors (see below), whose sum is σ = 100289280. Its totient is φ = 9447840.

The previous prime is 33113111. The next prime is 33113131. The reversal of 33113124 is 42131133.

It is a super-3 number, since 3×33113124³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33113097 and 33113106.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 203067 + ... + 203229.

Almost surely, 2^33113124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33113124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50144640).

33113124 is an abundant number, since it is smaller than the sum of its proper divisors (67176156).

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

33113124 is a wasteful number, since it uses less digits than its factorization.

33113124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33113124 is about 5754.4004031697. The cubic root of 33113124 is about 321.1195292478.

Adding to 33113124 its reverse (42131133), we get a palindrome (75244257).

Subtracting 33113124 from its reverse (42131133), we obtain a square (9018009 = 3003²).

The spelling of 33113124 in words is "thirty-three million, one hundred thirteen thousand, one hundred twenty-four".