33130122000 has 160 divisors (see below), whose sum is σ = 110495249280. Its totient is φ = 8530009600.

The previous prime is 33130121831. The next prime is 33130122059. The reversal of 33130122000 is 22103133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78799 + ... + 269201.

It is an arithmetic number, because the mean of its divisors is an integer number (690595308).

Almost surely, 2^33130122000 is an apocalyptic number.

33130122000 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 33130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55247624640).

33130122000 is an abundant number, since it is smaller than the sum of its proper divisors (77365127280).

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

33130122000 is a wasteful number, since it uses less digits than its factorization.

33130122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190458 (or 190442 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33130122000 its reverse (22103133), we get a palindrome (33152225133).

The spelling of 33130122000 in words is "thirty-three billion, one hundred thirty million, one hundred twenty-two thousand".