13035107 has 8 divisors (see below), whose sum is σ = 13833792. Its totient is φ = 12240000.

The previous prime is 13035091. The next prime is 13035119. The reversal of 13035107 is 70153031.

It is a happy number.

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

It is not a de Polignac number, because 13035107 - 2⁴ = 13035091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13035167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12257 + ... + 13277.

It is an arithmetic number, because the mean of its divisors is an integer number (1729224).

Almost surely, 2^13035107 is an apocalyptic number.

13035107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13035107 is a deficient number, since it is larger than the sum of its proper divisors (798685).

13035107 is a wasteful number, since it uses less digits than its factorization.

13035107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 13035107 is about 3610.4164579727. The cubic root of 13035107 is about 235.3449408487.

Adding to 13035107 its reverse (70153031), we get a palindrome (83188138).

The spelling of 13035107 in words is "thirteen million, thirty-five thousand, one hundred seven".