13013121 has 16 divisors (see below), whose sum is σ = 19042560. Its totient is φ = 7839120.

The previous prime is 13013071. The next prime is 13013129. The reversal of 13013121 is 12131031.

It is not a de Polignac number, because 13013121 - 2⁶ = 13013057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013097 and 13013106.

It is not an unprimeable number, because it can be changed into a prime (13013129) 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, 4806 + ... + 7008.

It is an arithmetic number, because the mean of its divisors is an integer number (1190160).

Almost surely, 2^13013121 is an apocalyptic number.

13013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13013121 is a deficient number, since it is larger than the sum of its proper divisors (6029439).

13013121 is a wasteful number, since it uses less digits than its factorization.

13013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13013121 is about 3607.3703718914. The cubic root of 13013121 is about 235.2125495120.

Adding to 13013121 its reverse (12131031), we get a palindrome (25144152).

The spelling of 13013121 in words is "thirteen million, thirteen thousand, one hundred twenty-one".