33300131223000 has 256 divisors, whose sum is σ = 107875722240000. Its totient is φ = 8542183104000.

The previous prime is 33300131222989. The next prime is 33300131223041. The reversal of 33300131223000 is 32213100333.

It is a super-2 number, since 2×33300131223000² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 22870801 + ... + 24283199.

It is an arithmetic number, because the mean of its divisors is an integer number (421389540000).

Almost surely, 2^{33300131223000} is an apocalyptic number.

33300131223000 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 33300131223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53937861120000).

33300131223000 is an abundant number, since it is smaller than the sum of its proper divisors (74575591017000).

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

33300131223000 is a wasteful number, since it uses less digits than its factorization.

33300131223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412723 (or 1412709 counting only the distinct ones).

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

Adding to 33300131223000 its reverse (32213100333), we get a palindrome (33332344323333).

The spelling of 33300131223000 in words is "thirty-three trillion, three hundred billion, one hundred thirty-one million, two hundred twenty-three thousand".