33113120 has 48 divisors (see below), whose sum is σ = 78586200. Its totient is φ = 13185024.

The previous prime is 33113111. The next prime is 33113131. The reversal of 33113120 is 2131133.

It can be written as a sum of positive squares in 4 ways, for example, as 30514576 + 2598544 = 5524^2 + 1612^2 .

It is a super-2 number, since 2×33113120² = 2192957432268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33113095 and 33113104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55544 + ... + 56136.

Almost surely, 2^33113120 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 33113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39293100).

33113120 is an abundant number, since it is smaller than the sum of its proper divisors (45473080).

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

33113120 is a wasteful number, since it uses less digits than its factorization.

33113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 33113120 is about 5754.4000556096. The cubic root of 33113120 is about 321.1195163176.

Adding to 33113120 its reverse (2131133), we get a palindrome (35244253).

It can be divided in two parts, 33113 and 120, that added together give a palindrome (33233).

The spelling of 33113120 in words is "thirty-three million, one hundred thirteen thousand, one hundred twenty".