133343324400 has 480 divisors, whose sum is σ = 507515016960. Its totient is φ = 29500416000.

The previous prime is 133343324383. The next prime is 133343324417. The reversal of 133343324400 is 4423343331.

It is an interprime number because it is at equal distance from previous prime (133343324383) and next prime (133343324417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15268035 + ... + 15276765.

It is an arithmetic number, because the mean of its divisors is an integer number (1057322952).

Almost surely, 2^133343324400 is an apocalyptic number.

133343324400 is a gapful number since it is divisible by the number (10) 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 133343324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253757508480).

133343324400 is an abundant number, since it is smaller than the sum of its proper divisors (374171692560).

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

133343324400 is a wasteful number, since it uses less digits than its factorization.

133343324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 133343324400 its reverse (4423343331), we get a palindrome (137766667731).

The spelling of 133343324400 in words is "one hundred thirty-three billion, three hundred forty-three million, three hundred twenty-four thousand, four hundred".