13351122400 has 288 divisors, whose sum is σ = 40882883328. Its totient is φ = 4136140800.

The previous prime is 13351122353. The next prime is 13351122437. The reversal of 13351122400 is 422115331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11888239 + ... + 11889361.

It is an arithmetic number, because the mean of its divisors is an integer number (141954456).

Almost surely, 2^13351122400 is an apocalyptic number.

13351122400 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 13351122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441441664).

13351122400 is an abundant number, since it is smaller than the sum of its proper divisors (27531760928).

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

13351122400 is a wasteful number, since it uses less digits than its factorization.

13351122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13351122400 its reverse (422115331), we get a palindrome (13773237731).

The spelling of 13351122400 in words is "thirteen billion, three hundred fifty-one million, one hundred twenty-two thousand, four hundred".