13431040000000 has 480 divisors, whose sum is σ = 38398729824000. Its totient is φ = 4601856000000.

The previous prime is 13431039999991. The next prime is 13431040000019. The reversal of 13431040000000 is 4013431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8959999251 + ... + 8960000749.

It is an arithmetic number, because the mean of its divisors is an integer number (79997353800).

Almost surely, 2^{13431040000000} is an apocalyptic number.

13431040000000 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 13431040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199364912000).

13431040000000 is an abundant number, since it is smaller than the sum of its proper divisors (24967689824000).

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

13431040000000 is an frugal number, since it uses more digits than its factorization.

13431040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13431040000000 its reverse (4013431), we get a palindrome (13431044013431).

The spelling of 13431040000000 in words is "thirteen trillion, four hundred thirty-one billion, forty million", and thus it is an aban number.