13140321011400 has 192 divisors, whose sum is σ = 45101434394880. Its totient is φ = 3137987001600.

The previous prime is 13140321011399. The next prime is 13140321011443. The reversal of 13140321011400 is 411012304131.

13140321011400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 14415694 + ... + 15300093.

It is an arithmetic number, because the mean of its divisors is an integer number (234903304140).

Almost surely, 2^{13140321011400} is an apocalyptic number.

13140321011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140321011400 is an abundant number, since it is smaller than the sum of its proper divisors (31961113383480).

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

13140321011400 is a wasteful number, since it uses less digits than its factorization.

13140321011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29715884 (or 29715875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13140321011400 its reverse (411012304131), we get a palindrome (13551333315531).

The spelling of 13140321011400 in words is "thirteen trillion, one hundred forty billion, three hundred twenty-one million, eleven thousand, four hundred".