13201220140400 has 240 divisors, whose sum is σ = 34752693587040. Its totient is φ = 4796682240000.

The previous prime is 13201220140373. The next prime is 13201220140421. The reversal of 13201220140400 is 404102210231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591786047 + ... + 591808353.

It is an arithmetic number, because the mean of its divisors is an integer number (144802889946).

Almost surely, 2^{13201220140400} is an apocalyptic number.

13201220140400 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 13201220140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376346793520).

13201220140400 is an abundant number, since it is smaller than the sum of its proper divisors (21551473446640).

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

13201220140400 is a wasteful number, since it uses less digits than its factorization.

13201220140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25372 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13201220140400 its reverse (404102210231), we get a palindrome (13605322350631).

The spelling of 13201220140400 in words is "thirteen trillion, two hundred one billion, two hundred twenty million, one hundred forty thousand, four hundred".