1333400813316 has 240 divisors, whose sum is σ = 4097414458368. Its totient is φ = 372775219200.

The previous prime is 1333400813279. The next prime is 1333400813321. The reversal of 1333400813316 is 6133180043331.

1333400813316 is a `hidden beast` number, since 1 + 3 + 334 + 0 + 0 + 8 + 1 + 3 + 316 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97800036 + ... + 97813668.

Almost surely, 2^{1333400813316} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333400813316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048707229184).

1333400813316 is an abundant number, since it is smaller than the sum of its proper divisors (2764013645052).

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

1333400813316 is a wasteful number, since it uses less digits than its factorization.

1333400813316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 1333400813316 its reverse (6133180043331), we get a palindrome (7466580856647).

The spelling of 1333400813316 in words is "one trillion, three hundred thirty-three billion, four hundred million, eight hundred thirteen thousand, three hundred sixteen".