13137350117 has 16 divisors (see below), whose sum is σ = 14398475760. Its totient is φ = 11930999808.

The previous prime is 13137350099. The next prime is 13137350201. The reversal of 13137350117 is 71105373131.

It can be written as a sum of positive squares in 8 ways, for example, as 3776594116 + 9360756001 = 61454^2 + 96751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13137350117 - 2⁶ = 13137350053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137350417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918263 + ... + 932459.

It is an arithmetic number, because the mean of its divisors is an integer number (899904735).

Almost surely, 2^13137350117 is an apocalyptic number.

13137350117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13137350117 is a deficient number, since it is larger than the sum of its proper divisors (1261125643).

13137350117 is a wasteful number, since it uses less digits than its factorization.

13137350117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16120.

The product of its (nonzero) digits is 6615, while the sum is 32.

The spelling of 13137350117 in words is "thirteen billion, one hundred thirty-seven million, three hundred fifty thousand, one hundred seventeen".