33201313920 has 96 divisors (see below), whose sum is σ = 114648307020. Its totient is φ = 8853682176.

The previous prime is 33201313913. The next prime is 33201313927. The reversal of 33201313920 is 2931310233.

33201313920 is a `hidden beast` number, since 3 + 320 + 1 + 313 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (33201313913) and next prime (33201313927).

It can be written as a sum of positive squares in 2 ways, for example, as 26924871744 + 6276442176 = 164088^2 + 79224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33201313920² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33201313927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2876299 + ... + 2887818.

Almost surely, 2^33201313920 is an apocalyptic number.

33201313920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33201313920 is an abundant number, since it is smaller than the sum of its proper divisors (81446993100).

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

33201313920 is a wasteful number, since it uses less digits than its factorization.

33201313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764142 (or 5764127 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 33201313920 in words is "thirty-three billion, two hundred one million, three hundred thirteen thousand, nine hundred twenty".