1010122013 has 6 divisors (see below), whose sum is σ = 1020652506. Its totient is φ = 999699072.

The previous prime is 1010121967. The next prime is 1010122033. The reversal of 1010122013 is 3102210101.

It can be written as a sum of positive squares in 3 ways, for example, as 95785369 + 914336644 = 9787^2 + 30238^2 .

It is not a de Polignac number, because 1010122013 - 2¹⁰ = 1010120989 is a prime.

It is a super-2 number, since 2×1010122013² = 2040692962294344338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010121985 and 1010122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010122033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44270 + ... + 63087.

It is an arithmetic number, because the mean of its divisors is an integer number (170108751).

Almost surely, 2^1010122013 is an apocalyptic number.

It is an amenable number.

1010122013 is a deficient number, since it is larger than the sum of its proper divisors (10530493).

1010122013 is an frugal number, since it uses more digits than its factorization.

1010122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107551 (or 107454 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1010122013 is about 31782.4167268633. The cubic root of 1010122013 is about 1003.3626840149.

Adding to 1010122013 its reverse (3102210101), we get a palindrome (4112332114).

The spelling of 1010122013 in words is "one billion, ten million, one hundred twenty-two thousand, thirteen".