13531023101 has 2 divisors, whose sum is σ = 13531023102. Its totient is φ = 13531023100.

The previous prime is 13531023089. The next prime is 13531023193. The reversal of 13531023101 is 10132013531.

13531023101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13514295001 + 16728100 = 116251^2 + 4090^2 .

It is an emirp because it is prime and its reverse (10132013531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13531023101 - 2¹⁴ = 13531006717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13531023301) 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, 6765511550 + 6765511551.

It is an arithmetic number, because the mean of its divisors is an integer number (6765511551).

Almost surely, 2^13531023101 is an apocalyptic number.

It is an amenable number.

13531023101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531023101 is an equidigital number, since it uses as much as digits as its factorization.

13531023101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 13531023101 its reverse (10132013531), we get a palindrome (23663036632).

The spelling of 13531023101 in words is "thirteen billion, five hundred thirty-one million, twenty-three thousand, one hundred one".