33113321331040 has 192 divisors, whose sum is σ = 81477793313280. Its totient is φ = 12703558533120.

The previous prime is 33113321331007. The next prime is 33113321331043. The reversal of 33113321331040 is 4013312331133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113321331043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302867424 + ... + 302976736.

It is an arithmetic number, because the mean of its divisors is an integer number (424363506840).

Almost surely, 2^{33113321331040} 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 33113321331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40738896656640).

33113321331040 is an abundant number, since it is smaller than the sum of its proper divisors (48364471982240).

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

33113321331040 is a wasteful number, since it uses less digits than its factorization.

33113321331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109905 (or 109897 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 33113321331040 its reverse (4013312331133), we get a palindrome (37126633662173).

The spelling of 33113321331040 in words is "thirty-three trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, forty".