1020120013 has 8 divisors (see below), whose sum is σ = 1171429920. Its totient is φ = 878572080.

The previous prime is 1020119999. The next prime is 1020120041. The reversal of 1020120013 is 3100210201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020120013 - 2¹⁷ = 1019988941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020120083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2440270 + ... + 2440687.

It is an arithmetic number, because the mean of its divisors is an integer number (146428740).

Almost surely, 2^1020120013 is an apocalyptic number.

It is an amenable number.

1020120013 is a deficient number, since it is larger than the sum of its proper divisors (151309907).

1020120013 is a wasteful number, since it uses less digits than its factorization.

1020120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880987.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020120013 is about 31939.3176664750. The cubic root of 1020120013 is about 1006.6621876887.

Adding to 1020120013 its reverse (3100210201), we get a palindrome (4120330214).

The spelling of 1020120013 in words is "one billion, twenty million, one hundred twenty thousand, thirteen".