13354552200 has 288 divisors, whose sum is σ = 47081361600. Its totient is φ = 3125337600.

The previous prime is 13354552163. The next prime is 13354552207. The reversal of 13354552200 is 225545331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13354552207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2102229 + ... + 2108571.

It is an arithmetic number, because the mean of its divisors is an integer number (163476950).

Almost surely, 2^13354552200 is an apocalyptic number.

13354552200 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 13354552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540680800).

13354552200 is an abundant number, since it is smaller than the sum of its proper divisors (33726809400).

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

13354552200 is a wasteful number, since it uses less digits than its factorization.

13354552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

It can be divided in two parts, 133545 and 52200, that added together give a triangular number (185745 = T₆₀₉).

The spelling of 13354552200 in words is "thirteen billion, three hundred fifty-four million, five hundred fifty-two thousand, two hundred".