1333132130400 has 288 divisors, whose sum is σ = 5074585705728. Its totient is φ = 297629337600.

The previous prime is 1333132130399. The next prime is 1333132130471. The reversal of 1333132130400 is 40312313331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200311 + ... + 1645110.

It is an arithmetic number, because the mean of its divisors is an integer number (17620089256).

Almost surely, 2^{1333132130400} is an apocalyptic number.

1333132130400 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 1333132130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537292852864).

1333132130400 is an abundant number, since it is smaller than the sum of its proper divisors (3741453575328).

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

1333132130400 is a wasteful number, since it uses less digits than its factorization.

1333132130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845494 (or 1845481 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1333132130400 its reverse (40312313331), we get a palindrome (1373444443731).

The spelling of 1333132130400 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-two million, one hundred thirty thousand, four hundred".