133321242400 has 36 divisors (see below), whose sum is σ = 325470484962. Its totient is φ = 53328496640.

The previous prime is 133321242371. The next prime is 133321242449. The reversal of 133321242400 is 4242123331.

It can be written as a sum of positive squares in 3 ways, for example, as 49691543056 + 83629699344 = 222916^2 + 289188^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83324977 + ... + 83326576.

Almost surely, 2^133321242400 is an apocalyptic number.

133321242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133321242400 is an abundant number, since it is smaller than the sum of its proper divisors (192149242562).

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

133321242400 is a wasteful number, since it uses less digits than its factorization.

133321242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166651573 (or 166651560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133321242400 its reverse (4242123331), we get a palindrome (137563365731).

The spelling of 133321242400 in words is "one hundred thirty-three billion, three hundred twenty-one million, two hundred forty-two thousand, four hundred".