33213231021000 has 256 divisors, whose sum is σ = 105397853184000. Its totient is φ = 8705405971200.

The previous prime is 33213231020971. The next prime is 33213231021007. The reversal of 33213231021000 is 12013231233.

It is a super-2 number, since 2×33213231021000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33213231021007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1749989511 + ... + 1750008489.

It is an arithmetic number, because the mean of its divisors is an integer number (411710364000).

Almost surely, 2^{33213231021000} is an apocalyptic number.

33213231021000 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 33213231021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52698926592000).

33213231021000 is an abundant number, since it is smaller than the sum of its proper divisors (72184622163000).

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

33213231021000 is a wasteful number, since it uses less digits than its factorization.

33213231021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28949 (or 28935 counting only the distinct ones).

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

Adding to 33213231021000 its reverse (12013231233), we get a palindrome (33225244252233).

The spelling of 33213231021000 in words is "thirty-three trillion, two hundred thirteen billion, two hundred thirty-one million, twenty-one thousand".