33130221220404 has 144 divisors (see below), whose sum is σ = 104426254872576. Its totient is φ = 8603945064000.

The previous prime is 33130221220399. The next prime is 33130221220417. The reversal of 33130221220404 is 40402212203133.

33130221220404 is a `hidden beast` number, since 3 + 3 + 1 + 30 + 2 + 2 + 1 + 220 + 404 = 666.

It is a super-2 number, since 2×33130221220404² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17410129 + ... + 19219079.

It is an arithmetic number, because the mean of its divisors is an integer number (725182325504).

Almost surely, 2^{33130221220404} 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 33130221220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52213127436288).

33130221220404 is an abundant number, since it is smaller than the sum of its proper divisors (71296033652172).

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

33130221220404 is a wasteful number, since it uses less digits than its factorization.

33130221220404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815586 (or 1815581 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33130221220404 its reverse (40402212203133), we get a palindrome (73532433423537).

It can be divided in two parts, 33130221 and 220404, that added together give a square (33350625 = 5775²).

The spelling of 33130221220404 in words is "thirty-three trillion, one hundred thirty billion, two hundred twenty-one million, two hundred twenty thousand, four hundred four".