13540242023 has 32 divisors (see below), whose sum is σ = 17789898240. Its totient is φ = 9984245760.

The previous prime is 13540241999. The next prime is 13540242043. The reversal of 13540242023 is 32024204531.

It is a cyclic number.

It is not a de Polignac number, because 13540242023 - 2¹⁰ = 13540240999 is a prime.

It is a super-3 number, since 3×13540242023³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13540241983 and 13540242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540242043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424615 + ... + 1434087.

It is an arithmetic number, because the mean of its divisors is an integer number (555934320).

Almost surely, 2^13540242023 is an apocalyptic number.

13540242023 is a deficient number, since it is larger than the sum of its proper divisors (4249656217).

13540242023 is a wasteful number, since it uses less digits than its factorization.

13540242023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 13540242023 its reverse (32024204531), we get a palindrome (45564446554).

The spelling of 13540242023 in words is "thirteen billion, five hundred forty million, two hundred forty-two thousand, twenty-three".