13113344400 has 480 divisors, whose sum is σ = 48333656448. Its totient is φ = 3010560000.

The previous prime is 13113344357. The next prime is 13113344401. The reversal of 13113344400 is 444331131.

It is a super-2 number, since 2×13113344400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13113344401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52244275 + ... + 52244525.

Almost surely, 2^13113344400 is an apocalyptic number.

13113344400 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 13113344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166828224).

13113344400 is an abundant number, since it is smaller than the sum of its proper divisors (35220312048).

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

13113344400 is a wasteful number, since it uses less digits than its factorization.

13113344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13113344400 its reverse (444331131), we get a palindrome (13557675531).

The spelling of 13113344400 in words is "thirteen billion, one hundred thirteen million, three hundred forty-four thousand, four hundred".