13431013331544 has 96 divisors (see below), whose sum is σ = 37374521483520. Its totient is φ = 4354169707008.

The previous prime is 13431013331539. The next prime is 13431013331573. The reversal of 13431013331544 is 44513331013431.

13431013331544 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 101 + 3 + 3 + 3 + 1 + 544 = 666.

It is a super-2 number, since 2×13431013331544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13431013331499 and 13431013331508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271817 + ... + 7392839.

It is an arithmetic number, because the mean of its divisors is an integer number (389317932120).

Almost surely, 2^{13431013331544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431013331544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687260741760).

13431013331544 is an abundant number, since it is smaller than the sum of its proper divisors (23943508151976).

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

13431013331544 is a wasteful number, since it uses less digits than its factorization.

13431013331544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123449 (or 2123442 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13431013331544 its reverse (44513331013431), we get a palindrome (57944344344975).

The spelling of 13431013331544 in words is "thirteen trillion, four hundred thirty-one billion, thirteen million, three hundred thirty-one thousand, five hundred forty-four".