10033122330 has 384 divisors, whose sum is σ = 35733934080. Its totient is φ = 1888634880.

The previous prime is 10033122329. The next prime is 10033122343. The reversal of 10033122330 is 3322133001.

10033122330 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 2 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3026754 + ... + 3030066.

It is an arithmetic number, because the mean of its divisors is an integer number (93057120).

Almost surely, 2^10033122330 is an apocalyptic number.

10033122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866967040).

10033122330 is an abundant number, since it is smaller than the sum of its proper divisors (25700811750).

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

10033122330 is a wasteful number, since it uses less digits than its factorization.

10033122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10033122330 its reverse (3322133001), we get a palindrome (13355255331).

The spelling of 10033122330 in words is "ten billion, thirty-three million, one hundred twenty-two thousand, three hundred thirty".