8120013 has 16 divisors (see below), whose sum is σ = 11871552. Its totient is φ = 4896000.

The previous prime is 8119997. The next prime is 8120023. The reversal of 8120013 is 3100218.

It is a happy number.

8120013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8120013 - 2⁴ = 8119997 is a prime.

It is a super-2 number, since 2×8120013² = 131869222240338, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8119974 and 8120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120023) 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, 7443 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (741972).

Almost surely, 2^8120013 is an apocalyptic number.

It is an amenable number.

8120013 is a deficient number, since it is larger than the sum of its proper divisors (3751539).

8120013 is a wasteful number, since it uses less digits than its factorization.

8120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8120013 is about 2849.5636508069. The cubic root of 8120013 is about 200.9951485178.

It can be divided in two parts, 8 and 120013, that added together give a palindrome (120021).

The spelling of 8120013 in words is "eight million, one hundred twenty thousand, thirteen".