33131280400 has 135 divisors (see below), whose sum is σ = 84183504861. Its totient is φ = 12528800640.

The previous prime is 33131280361. The next prime is 33131280401. The reversal of 33131280400 is 408213133.

The square root of 33131280400 is 182020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11927260944 + 21204019456 = 109212^2 + 145616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33131280401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 69167361 + ... + 69167839.

Almost surely, 2^33131280400 is an apocalyptic number.

33131280400 is the 182020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33131280400

33131280400 is an abundant number, since it is smaller than the sum of its proper divisors (51052224461).

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

33131280400 is an equidigital number, since it uses as much as digits as its factorization.

33131280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 33131280400 by its sum of digits (25), we get a square (828282010000 = 910100²).

33131280400 divided by its sum of digits (25) gives a square (1325251216 = 36404²).

Adding to 33131280400 its reverse (408213133), we get a palindrome (33539493533).

The spelling of 33131280400 in words is "thirty-three billion, one hundred thirty-one million, two hundred eighty thousand, four hundred".