3332000133 has 144 divisors (see below), whose sum is σ = 6418339200. Its totient is φ = 1617580800.

The previous prime is 3332000123. The next prime is 3332000137. The reversal of 3332000133 is 3310002333.

3332000133 is a `hidden beast` number, since 333 + 200 + 0 + 133 = 666.

It is not a de Polignac number, because 3332000133 - 2⁹ = 3331999621 is a prime.

It is a super-2 number, since 2×3332000133² = 22204449772624035378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332000137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22362343 + ... + 22362491.

It is an arithmetic number, because the mean of its divisors is an integer number (44571800).

Almost surely, 2^3332000133 is an apocalyptic number.

3332000133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3332000133 is the 33327-th octagonal number.

It is an amenable number.

3332000133 is a deficient number, since it is larger than the sum of its proper divisors (3086339067).

3332000133 is a wasteful number, since it uses less digits than its factorization.

3332000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3332000133 is about 57723.4799106915. The cubic root of 3332000133 is about 1493.6024019519.

Adding to 3332000133 its reverse (3310002333), we get a palindrome (6642002466).

The spelling of 3332000133 in words is "three billion, three hundred thirty-two million, one hundred thirty-three", and thus it is an aban number.