33121330021000 has 512 divisors, whose sum is σ = 87926703621120. Its totient is φ = 11586364416000.

The previous prime is 33121330020971. The next prime is 33121330021051. The reversal of 33121330021000 is 12003312133.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33220992502 + ... + 33220993498.

It is an arithmetic number, because the mean of its divisors is an integer number (171731843010).

Almost surely, 2^{33121330021000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121330021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43963351810560).

33121330021000 is an abundant number, since it is smaller than the sum of its proper divisors (54805373600120).

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

33121330021000 is a wasteful number, since it uses less digits than its factorization.

33121330021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 33121330021000 its reverse (12003312133), we get a palindrome (33133333333133).

The spelling of 33121330021000 in words is "thirty-three trillion, one hundred twenty-one billion, three hundred thirty million, twenty-one thousand".