13311210414400 has 168 divisors, whose sum is σ = 33048691036344. Its totient is φ = 5276759654400.

The previous prime is 13311210414391. The next prime is 13311210414407. The reversal of 13311210414400 is 441401211331.

It can be written as a sum of positive squares in 12 ways, for example, as 3201150758976 + 10110059655424 = 1789176^2 + 3179632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311210414407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86561580 + ... + 86715220.

Almost surely, 2^{13311210414400} is an apocalyptic number.

13311210414400 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 13311210414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524345518172).

13311210414400 is an abundant number, since it is smaller than the sum of its proper divisors (19737480621944).

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

13311210414400 is a wasteful number, since it uses less digits than its factorization.

13311210414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154149 (or 154134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13311210414400 its reverse (441401211331), we get a palindrome (13752611625731).

The spelling of 13311210414400 in words is "thirteen trillion, three hundred eleven billion, two hundred ten million, four hundred fourteen thousand, four hundred".