1013123213 has 2 divisors, whose sum is σ = 1013123214. Its totient is φ = 1013123212.

The previous prime is 1013123203. The next prime is 1013123219. The reversal of 1013123213 is 3123213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007300644 + 5822569 = 31738^2 + 2413^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013123213 - 2¹² = 1013119117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013123191 and 1013123200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013123219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506561606 + 506561607.

It is an arithmetic number, because the mean of its divisors is an integer number (506561607).

Almost surely, 2^1013123213 is an apocalyptic number.

It is an amenable number.

1013123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013123213 is an equidigital number, since it uses as much as digits as its factorization.

1013123213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1013123213 is about 31829.5964944578. The cubic root of 1013123213 is about 1004.3554072212.

Adding to 1013123213 its reverse (3123213101), we get a palindrome (4136336314).

It can be divided in two parts, 101 and 3123213, that multiplied together give a palindrome (315444513).

The spelling of 1013123213 in words is "one billion, thirteen million, one hundred twenty-three thousand, two hundred thirteen".