13201123410400 has 288 divisors, whose sum is σ = 35061754779072. Its totient is φ = 4833231667200.

The previous prime is 13201123410379. The next prime is 13201123410443. The reversal of 13201123410400 is 401432110231.

It is a super-2 number, since 2×13201123410400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364170362 + ... + 1364180038.

It is an arithmetic number, because the mean of its divisors is an integer number (121742204094).

Almost surely, 2^{13201123410400} is an apocalyptic number.

13201123410400 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 13201123410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530877389536).

13201123410400 is an abundant number, since it is smaller than the sum of its proper divisors (21860631368672).

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

13201123410400 is a wasteful number, since it uses less digits than its factorization.

13201123410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12449 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13201123410400 its reverse (401432110231), we get a palindrome (13602555520631).

The spelling of 13201123410400 in words is "thirteen trillion, two hundred one billion, one hundred twenty-three million, four hundred ten thousand, four hundred".