13535001342 has 48 divisors (see below), whose sum is σ = 30459265200. Its totient is φ = 4504652352.

The previous prime is 13535001317. The next prime is 13535001371. The reversal of 13535001342 is 24310053531.

It is a super-2 number, since 2×13535001342² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296034 + ... + 338682.

It is an arithmetic number, because the mean of its divisors is an integer number (634568025).

Almost surely, 2^13535001342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535001342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229632600).

13535001342 is an abundant number, since it is smaller than the sum of its proper divisors (16924263858).

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

13535001342 is an equidigital number, since it uses as much as digits as its factorization.

13535001342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43319 (or 43307 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13535001342 its reverse (24310053531), we get a palindrome (37845054873).

The spelling of 13535001342 in words is "thirteen billion, five hundred thirty-five million, one thousand, three hundred forty-two".