13140011010400 has 72 divisors (see below), whose sum is σ = 32079784902984. Its totient is φ = 5255720448000.

The previous prime is 13140011010389. The next prime is 13140011010409. The reversal of 13140011010400 is 401011004131.

It is a super-3 number, since 3×13140011010400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140011010409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14696175 + ... + 15564625.

It is an arithmetic number, because the mean of its divisors is an integer number (445552568097).

Almost surely, 2^{13140011010400} is an apocalyptic number.

13140011010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140011010400 is an abundant number, since it is smaller than the sum of its proper divisors (18939773892584).

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

13140011010400 is a wasteful number, since it uses less digits than its factorization.

13140011010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887384 (or 887371 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13140011010400 its reverse (401011004131), we get a palindrome (13541022014531).

The spelling of 13140011010400 in words is "thirteen trillion, one hundred forty billion, eleven million, ten thousand, four hundred".