13165142431136 has 96 divisors (see below), whose sum is σ = 27505898980560. Its totient is φ = 6181285478400.

The previous prime is 13165142431099. The next prime is 13165142431139. The reversal of 13165142431136 is 63113424156131.

It can be written as a sum of positive squares in 8 ways, for example, as 12331025541136 + 834116890000 = 3511556^2 + 913300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13165142431093 and 13165142431102.

It is not an unprimeable number, because it can be changed into a prime (13165142431139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345986566 + ... + 1345996346.

Almost surely, 2^{13165142431136} is an apocalyptic number.

13165142431136 is a gapful number since it is divisible by the number (16) 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 13165142431136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752949490280).

13165142431136 is an abundant number, since it is smaller than the sum of its proper divisors (14340756549424).

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

13165142431136 is a wasteful number, since it uses less digits than its factorization.

13165142431136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 15170 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

Adding to 13165142431136 its reverse (63113424156131), we get a palindrome (76278566587267).

The spelling of 13165142431136 in words is "thirteen trillion, one hundred sixty-five billion, one hundred forty-two million, four hundred thirty-one thousand, one hundred thirty-six".