13082121 has 48 divisors (see below), whose sum is σ = 21784320. Its totient is φ = 7750080.

The previous prime is 13082107. The next prime is 13082159. The reversal of 13082121 is 12128031.

13082121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13082121 - 2¹⁰ = 13081097 is a prime.

It is a super-2 number, since 2×13082121² = 342283779717282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13082094 and 13082103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214431 + ... + 214491.

It is an arithmetic number, because the mean of its divisors is an integer number (453840).

Almost surely, 2^13082121 is an apocalyptic number.

It is an amenable number.

13082121 is a deficient number, since it is larger than the sum of its proper divisors (8702199).

13082121 is a wasteful number, since it uses less digits than its factorization.

13082121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13082121 is about 3616.9214810388. The cubic root of 13082121 is about 235.6275425806.

It can be divided in two parts, 13082 and 121, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 13082121 in words is "thirteen million, eighty-two thousand, one hundred twenty-one".