13542131413 has 2 divisors, whose sum is σ = 13542131414. Its totient is φ = 13542131412.

The previous prime is 13542131359. The next prime is 13542131417. The reversal of 13542131413 is 31413124531.

13542131413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9498061764 + 4044069649 = 97458^2 + 63593^2 .

It is an emirp because it is prime and its reverse (31413124531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13542131413 - 2²⁹ = 13005260501 is a prime.

It is a super-2 number, since 2×13542131413² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13542131417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6771065706 + 6771065707.

It is an arithmetic number, because the mean of its divisors is an integer number (6771065707).

Almost surely, 2^13542131413 is an apocalyptic number.

It is an amenable number.

13542131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13542131413 is an equidigital number, since it uses as much as digits as its factorization.

13542131413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 28.

Adding to 13542131413 its reverse (31413124531), we get a palindrome (44955255944).

The spelling of 13542131413 in words is "thirteen billion, five hundred forty-two million, one hundred thirty-one thousand, four hundred thirteen".