13202106400 has 288 divisors, whose sum is σ = 38415541248. Its totient is φ = 4335206400.

The previous prime is 13202106383. The next prime is 13202106403. The reversal of 13202106400 is 460120231.

It is a super-2 number, since 2×13202106400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13202106403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19616464 + ... + 19617136.

It is an arithmetic number, because the mean of its divisors is an integer number (133387296).

Almost surely, 2^13202106400 is an apocalyptic number.

13202106400 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 13202106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207770624).

13202106400 is an abundant number, since it is smaller than the sum of its proper divisors (25213434848).

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

13202106400 is a wasteful number, since it uses less digits than its factorization.

13202106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13202106400 its reverse (460120231), we get a palindrome (13662226631).

The spelling of 13202106400 in words is "thirteen billion, two hundred two million, one hundred six thousand, four hundred".