13189121 has 6 divisors (see below), whose sum is σ = 14497266. Its totient is φ = 11990000.

The previous prime is 13189091. The next prime is 13189133. The reversal of 13189121 is 12198131.

It can be written as a sum of positive squares in only one way, i.e., 10817521 + 2371600 = 3289^2 + 1540^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13189121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13189321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54380 + ... + 54621.

It is an arithmetic number, because the mean of its divisors is an integer number (2416211).

It is a Proth number, since it is equal to 805 ⋅ 2¹⁴ + 1 and 805 < 2¹⁴.

Almost surely, 2^13189121 is an apocalyptic number.

13189121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13189121 is a deficient number, since it is larger than the sum of its proper divisors (1308145).

13189121 is a wasteful number, since it uses less digits than its factorization.

13189121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109023 (or 109012 counting only the distinct ones).

The product of its digits is 432, while the sum is 26.

The square root of 13189121 is about 3631.6829432097. The cubic root of 13189121 is about 236.2682062805.

The spelling of 13189121 in words is "thirteen million, one hundred eighty-nine thousand, one hundred twenty-one".