13135130001 has 48 divisors (see below), whose sum is σ = 22698344448. Its totient is φ = 7161285600.

The previous prime is 13135129937. The next prime is 13135130023. The reversal of 13135130001 is 10003153131.

13135130001 is a `hidden beast` number, since 1 + 313 + 51 + 300 + 0 + 1 = 666.

13135130001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13135130001 - 2⁶ = 13135129937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13135130501) 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 in 47 ways as a sum of consecutive naturals, for example, 91300 + ... + 186026.

It is an arithmetic number, because the mean of its divisors is an integer number (472882176).

Almost surely, 2^13135130001 is an apocalyptic number.

It is an amenable number.

13135130001 is a deficient number, since it is larger than the sum of its proper divisors (9563214447).

13135130001 is a wasteful number, since it uses less digits than its factorization.

13135130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94842 (or 94839 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 13135130001 its reverse (10003153131), we get a palindrome (23138283132).

The spelling of 13135130001 in words is "thirteen billion, one hundred thirty-five million, one hundred thirty thousand, one".