10033133112 has 96 divisors (see below), whose sum is σ = 27659502000. Its totient is φ = 3284674560.

The previous prime is 10033133101. The next prime is 10033133171. The reversal of 10033133112 is 21133133001.

It is a happy number.

10033133112 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 331 + 1 + 2 = 666.

It is a super-2 number, since 2×10033133112² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4078939 + ... + 4081397.

Almost surely, 2^10033133112 is an apocalyptic number.

10033133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829751000).

10033133112 is an abundant number, since it is smaller than the sum of its proper divisors (17626368888).

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

10033133112 is a wasteful number, since it uses less digits than its factorization.

10033133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10033133112 its reverse (21133133001), we get a palindrome (31166266113).

The spelling of 10033133112 in words is "ten billion, thirty-three million, one hundred thirty-three thousand, one hundred twelve".