33130021300 has 36 divisors (see below), whose sum is σ = 73645622316. Its totient is φ = 12928787200.

The previous prime is 33130021247. The next prime is 33130021333. The reversal of 33130021300 is 312003133.

It can be written as a sum of positive squares in 6 ways, for example, as 3833591056 + 29296430244 = 61916^2 + 171162^2 .

It is a super-2 number, since 2×33130021300² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4036147 + ... + 4044346.

It is an arithmetic number, because the mean of its divisors is an integer number (2045711731).

Almost surely, 2^33130021300 is an apocalyptic number.

It is an amenable number.

33130021300 is an abundant number, since it is smaller than the sum of its proper divisors (40515601016).

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

33130021300 is a wasteful number, since it uses less digits than its factorization.

33130021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080548 (or 8080541 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 33130021300 its reverse (312003133), we get a palindrome (33442024433).

The spelling of 33130021300 in words is "thirty-three billion, one hundred thirty million, twenty-one thousand, three hundred".