1013223121 has 2 divisors, whose sum is σ = 1013223122. Its totient is φ = 1013223120.

The previous prime is 1013223109. The next prime is 1013223139. The reversal of 1013223121 is 1213223101.

1013223121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 719580625 + 293642496 = 26825^2 + 17136^2 .

It is an emirp because it is prime and its reverse (1213223101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013223121 - 2¹¹ = 1013221073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013223095 and 1013223104.

It is not a weakly prime, because it can be changed into another prime (1013223191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506611560 + 506611561.

It is an arithmetic number, because the mean of its divisors is an integer number (506611561).

Almost surely, 2^1013223121 is an apocalyptic number.

It is an amenable number.

1013223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013223121 is an equidigital number, since it uses as much as digits as its factorization.

1013223121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1013223121 is about 31831.1658756006. The cubic root of 1013223121 is about 1004.3884205936.

Adding to 1013223121 its reverse (1213223101), we get a palindrome (2226446222).

The spelling of 1013223121 in words is "one billion, thirteen million, two hundred twenty-three thousand, one hundred twenty-one".