13311320400 has 540 divisors, whose sum is σ = 54689356800. Its totient is φ = 2988679680.

The previous prime is 13311320383. The next prime is 13311320431. The reversal of 13311320400 is 402311331.

13311320400 is a `hidden beast` number, since 133 + 1 + 132 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10406961 + ... + 10408239.

Almost surely, 2^13311320400 is an apocalyptic number.

13311320400 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 13311320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27344678400).

13311320400 is an abundant number, since it is smaller than the sum of its proper divisors (41378036400).

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

13311320400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13311320399) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1355).

13311320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13311320400 its reverse (402311331), we get a palindrome (13713631731).

The spelling of 13311320400 in words is "thirteen billion, three hundred eleven million, three hundred twenty thousand, four hundred".