13342144200 has 384 divisors, whose sum is σ = 51759544320. Its totient is φ = 2762035200.

The previous prime is 13342144159. The next prime is 13342144247. The reversal of 13342144200 is 244124331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22499104 + ... + 22499696.

It is an arithmetic number, because the mean of its divisors is an integer number (134790480).

Almost surely, 2^13342144200 is an apocalyptic number.

13342144200 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 13342144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25879772160).

13342144200 is an abundant number, since it is smaller than the sum of its proper divisors (38417400120).

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

13342144200 is a wasteful number, since it uses less digits than its factorization.

13342144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13342144200 its reverse (244124331), we get a palindrome (13586268531).

The spelling of 13342144200 in words is "thirteen billion, three hundred forty-two million, one hundred forty-four thousand, two hundred".