33000100023120 has 80 divisors (see below), whose sum is σ = 102912886903680. Its totient is φ = 8747331891712.

The previous prime is 33000100023113. The next prime is 33000100023131. The reversal of 33000100023120 is 2132000100033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33000100023120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411637815 + ... + 411717974.

It is an arithmetic number, because the mean of its divisors is an integer number (1286411086296).

Almost surely, 2^{33000100023120} is an apocalyptic number.

33000100023120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33000100023120 is an abundant number, since it is smaller than the sum of its proper divisors (69912786880560).

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

33000100023120 is a wasteful number, since it uses less digits than its factorization.

33000100023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823355972 (or 823355966 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33000100023120 its reverse (2132000100033), we get a palindrome (35132100123153).

The spelling of 33000100023120 in words is "thirty-three trillion, one hundred million, twenty-three thousand, one hundred twenty".