33130206900 has 1152 divisors, whose sum is σ = 139391078400. Its totient is φ = 6651279360.

The previous prime is 33130206899. The next prime is 33130206973. The reversal of 33130206900 is 960203133.

It is a super-2 number, since 2×33130206900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 494480667 + ... + 494480733.

It is an arithmetic number, because the mean of its divisors is an integer number (120999200).

Almost surely, 2^33130206900 is an apocalyptic number.

33130206900 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 33130206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69695539200).

33130206900 is an abundant number, since it is smaller than the sum of its proper divisors (106260871500).

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

33130206900 is a wasteful number, since it uses less digits than its factorization.

33130206900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 33130206900 in words is "thirty-three billion, one hundred thirty million, two hundred six thousand, nine hundred".