13311214020400 has 240 divisors, whose sum is σ = 33853569840000. Its totient is φ = 5015824128000.

The previous prime is 13311214020397. The next prime is 13311214020413. The reversal of 13311214020400 is 402041211331.

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, 1065658155 + ... + 1065670645.

It is an arithmetic number, because the mean of its divisors is an integer number (141056541000).

Almost surely, 2^{13311214020400} is an apocalyptic number.

13311214020400 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 13311214020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926784920000).

13311214020400 is an abundant number, since it is smaller than the sum of its proper divisors (20542355819600).

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

13311214020400 is a wasteful number, since it uses less digits than its factorization.

13311214020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13308 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13311214020400 its reverse (402041211331), we get a palindrome (13713255231731).

The spelling of 13311214020400 in words is "thirteen trillion, three hundred eleven billion, two hundred fourteen million, twenty thousand, four hundred".