13005121 has 2 divisors, whose sum is σ = 13005122. Its totient is φ = 13005120.

The previous prime is 13005103. The next prime is 13005127. The reversal of 13005121 is 12150031.

13005121 = T₂₉₄₃ + T₂₉₄₄ + T₂₉₄₅.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11806096 + 1199025 = 3436^2 + 1095^2 .

It is an emirp because it is prime and its reverse (12150031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13005121 - 2⁷ = 13004993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13005127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502560 + 6502561.

It is an arithmetic number, because the mean of its divisors is an integer number (6502561).

Almost surely, 2^13005121 is an apocalyptic number.

13005121 is the 2945-th centered triangular number.

It is an amenable number.

13005121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005121 is an equidigital number, since it uses as much as digits as its factorization.

13005121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13005121 is about 3606.2613604674. The cubic root of 13005121 is about 235.1643395520.

Adding to 13005121 its reverse (12150031), we get a palindrome (25155152).

The spelling of 13005121 in words is "thirteen million, five thousand, one hundred twenty-one".