1013122321 has 2 divisors, whose sum is σ = 1013122322. Its totient is φ = 1013122320.

The previous prime is 1013122289. The next prime is 1013122339. The reversal of 1013122321 is 1232213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 705646096 + 307476225 = 26564^2 + 17535^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013122321 - 2⁵ = 1013122289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013122295 and 1013122304.

It is not a weakly prime, because it can be changed into another prime (1013122391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506561160 + 506561161.

It is an arithmetic number, because the mean of its divisors is an integer number (506561161).

Almost surely, 2^1013122321 is an apocalyptic number.

It is an amenable number.

1013122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013122321 is an equidigital number, since it uses as much as digits as its factorization.

1013122321 is an evil number, because the sum of its binary digits is even.

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

The square root of 1013122321 is about 31829.5824823387. The cubic root of 1013122321 is about 1004.3551124610.

Adding to 1013122321 its reverse (1232213101), we get a palindrome (2245335422).

The spelling of 1013122321 in words is "one billion, thirteen million, one hundred twenty-two thousand, three hundred twenty-one".