13507009901 has 12 divisors (see below), whose sum is σ = 16967484576. Its totient is φ = 10524942120.

The previous prime is 13507009891. The next prime is 13507009903. The reversal of 13507009901 is 10990070531.

13507009901 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 13507009901 - 2⁶ = 13507009837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13507009903) 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 11 ways as a sum of consecutive naturals, for example, 7972595 + ... + 7974288.

It is an arithmetic number, because the mean of its divisors is an integer number (1413957048).

Almost surely, 2^13507009901 is an apocalyptic number.

13507009901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13507009901 is a deficient number, since it is larger than the sum of its proper divisors (3460474675).

13507009901 is a wasteful number, since it uses less digits than its factorization.

13507009901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15946912 (or 15946901 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 35.

The spelling of 13507009901 in words is "thirteen billion, five hundred seven million, nine thousand, nine hundred one".