8013121 has 2 divisors, whose sum is σ = 8013122. Its totient is φ = 8013120.

The previous prime is 8013119. The next prime is 8013151. The reversal of 8013121 is 1213108.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7507600 + 505521 = 2740^2 + 711^2 .

It is a cyclic number.

It is not a de Polignac number, because 8013121 - 2¹ = 8013119 is a prime.

Together with 8013119, it forms a pair of twin primes.

8013121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8013095 and 8013104.

It is not a weakly prime, because it can be changed into another prime (8013101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4006560 + 4006561.

It is an arithmetic number, because the mean of its divisors is an integer number (4006561).

Almost surely, 2^8013121 is an apocalyptic number.

It is an amenable number.

8013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

8013121 is an equidigital number, since it uses as much as digits as its factorization.

8013121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 8013121 is about 2830.7456614821. The cubic root of 8013121 is about 200.1092819431.

Adding to 8013121 its reverse (1213108), we get a palindrome (9226229).

The spelling of 8013121 in words is "eight million, thirteen thousand, one hundred twenty-one".