1213213313 has 48 divisors (see below), whose sum is σ = 1455500016. Its totient is φ = 1006387200.

The previous prime is 1213213249. The next prime is 1213213319. The reversal of 1213213313 is 3133123121.

It can be written as a sum of positive squares in 24 ways, for example, as 665278849 + 547934464 = 25793^2 + 23408^2 .

It is not a de Polignac number, because 1213213313 - 2⁶ = 1213213249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1213213319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10736345 + ... + 10736457.

It is an arithmetic number, because the mean of its divisors is an integer number (30322917).

Almost surely, 2^1213213313 is an apocalyptic number.

1213213313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1213213313 is a deficient number, since it is larger than the sum of its proper divisors (242286703).

1213213313 is a wasteful number, since it uses less digits than its factorization.

1213213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1213213313 is about 34831.2117647377. The cubic root of 1213213313 is about 1066.5446849550.

Adding to 1213213313 its reverse (3133123121), we get a palindrome (4346336434).

The spelling of 1213213313 in words is "one billion, two hundred thirteen million, two hundred thirteen thousand, three hundred thirteen".