13137891 has 12 divisors (see below), whose sum is σ = 18969048. Its totient is φ = 8084544.

The previous prime is 13137881. The next prime is 13137907. The reversal of 13137891 is 19873131.

13137891 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13137891 - 2⁷ = 13137763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13137851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12450 + ... + 13463.

It is an arithmetic number, because the mean of its divisors is an integer number (1580754).

Almost surely, 2^13137891 is an apocalyptic number.

13137891 is a deficient number, since it is larger than the sum of its proper divisors (5831157).

13137891 is a wasteful number, since it uses less digits than its factorization.

13137891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25942 (or 25929 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 13137891 is about 3624.6228769349. The cubic root of 13137891 is about 235.9619001504.

It can be divided in two parts, 13137 and 891, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13137891 in words is "thirteen million, one hundred thirty-seven thousand, eight hundred ninety-one".