1333296900 has 108 divisors (see below), whose sum is σ = 4500657252. Its totient is φ = 328193280.

The previous prime is 1333296889. The next prime is 1333296901. The reversal of 1333296900 is 96923331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10810944 + 1322485956 = 3288^2 + 36366^2 .

It is a super-2 number, since 2×1333296900² = 3555361247099220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1333296901) 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 35 ways as a sum of consecutive naturals, for example, 45279 + ... + 68678.

Almost surely, 2^1333296900 is an apocalyptic number.

1333296900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333296900 is an abundant number, since it is smaller than the sum of its proper divisors (3167360352).

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

1333296900 is a wasteful number, since it uses less digits than its factorization.

1333296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113990 (or 113980 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1333296900 is about 36514.3382796402. The cubic root of 1333296900 is about 1100.6323911889.

The spelling of 1333296900 in words is "one billion, three hundred thirty-three million, two hundred ninety-six thousand, nine hundred".