13535123404313 has 8 divisors (see below), whose sum is σ = 15468836022528. Its totient is φ = 11601441676224.

The previous prime is 13535123404289. The next prime is 13535123404357. The reversal of 13535123404313 is 31340432153531.

13535123404313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13535123404313 - 2⁶ = 13535123404249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13535123404013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6775856 + ... + 8542977.

It is an arithmetic number, because the mean of its divisors is an integer number (1933604502816).

Almost surely, 2^{13535123404313} is an apocalyptic number.

It is an amenable number.

13535123404313 is a deficient number, since it is larger than the sum of its proper divisors (1933712618215).

13535123404313 is a wasteful number, since it uses less digits than its factorization.

13535123404313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15445063.

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 13535123404313 its reverse (31340432153531), we get a palindrome (44875555557844).

The spelling of 13535123404313 in words is "thirteen trillion, five hundred thirty-five billion, one hundred twenty-three million, four hundred four thousand, three hundred thirteen".