13201401400 has 192 divisors, whose sum is σ = 36110188800. Its totient is φ = 4436352000.

The previous prime is 13201401293. The next prime is 13201401439. The reversal of 13201401400 is 410410231.

13201401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709949 + ... + 1717651.

It is an arithmetic number, because the mean of its divisors is an integer number (188073900).

Almost surely, 2^13201401400 is an apocalyptic number.

13201401400 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 13201401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18055094400).

13201401400 is an abundant number, since it is smaller than the sum of its proper divisors (22908787400).

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

13201401400 is a wasteful number, since it uses less digits than its factorization.

13201401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13201401400 its reverse (410410231), we get a palindrome (13611811631).

The spelling of 13201401400 in words is "thirteen billion, two hundred one million, four hundred one thousand, four hundred".