33013021023120 has 160 divisors (see below), whose sum is σ = 105966406465920. Its totient is φ = 8492111380480.

The previous prime is 33013021023119. The next prime is 33013021023137. The reversal of 33013021023120 is 2132012031033.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5419552 + ... + 9767168.

It is an arithmetic number, because the mean of its divisors is an integer number (662290040412).

Almost surely, 2^{33013021023120} is an apocalyptic number.

33013021023120 is a gapful number since it is divisible by the number (30) 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 33013021023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52983203232960).

33013021023120 is an abundant number, since it is smaller than the sum of its proper divisors (72953385442800).

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

33013021023120 is a wasteful number, since it uses less digits than its factorization.

33013021023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348753 (or 4348747 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33013021023120 its reverse (2132012031033), we get a palindrome (35145033054153).

The spelling of 33013021023120 in words is "thirty-three trillion, thirteen billion, twenty-one million, twenty-three thousand, one hundred twenty".