2033113120 has 24 divisors (see below), whose sum is σ = 4803230124. Its totient is φ = 813245184.

The previous prime is 2033113091. The next prime is 2033113123. The reversal of 2033113120 is 213113302.

It can be written as a sum of positive squares in 2 ways, for example, as 1929317776 + 103795344 = 43924^2 + 10188^2 .

It is a super-3 number, since 3×2033113120³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2033113094 and 2033113103.

It is not an unprimeable number, because it can be changed into a prime (2033113123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6353319 + ... + 6353638.

Almost surely, 2^2033113120 is an apocalyptic number.

2033113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033113120 is an abundant number, since it is smaller than the sum of its proper divisors (2770117004).

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

2033113120 is a wasteful number, since it uses less digits than its factorization.

2033113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12706972 (or 12706964 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2033113120 is about 45090.0556664105. The cubic root of 2033113120 is about 1266.8363441518.

Adding to 2033113120 its reverse (213113302), we get a palindrome (2246226422).

The spelling of 2033113120 in words is "two billion, thirty-three million, one hundred thirteen thousand, one hundred twenty".