33023313120 has 96 divisors (see below), whose sum is σ = 118883939328. Its totient is φ = 7548185088.

The previous prime is 33023313073. The next prime is 33023313121. The reversal of 33023313120 is 2131332033.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4910824 + ... + 4917543.

It is an arithmetic number, because the mean of its divisors is an integer number (1238374368).

Almost surely, 2^33023313120 is an apocalyptic number.

33023313120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33023313120 is an abundant number, since it is smaller than the sum of its proper divisors (85860626208).

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

33023313120 is a wasteful number, since it uses less digits than its factorization.

33023313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828392 (or 9828384 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33023313120 its reverse (2131332033), we get a palindrome (35154645153).

The spelling of 33023313120 in words is "thirty-three billion, twenty-three million, three hundred thirteen thousand, one hundred twenty".