1011133313 has 2 divisors, whose sum is σ = 1011133314. Its totient is φ = 1011133312.

The previous prime is 1011133303. The next prime is 1011133339. The reversal of 1011133313 is 3133311101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001849104 + 9284209 = 31652^2 + 3047^2 .

It is an emirp because it is prime and its reverse (3133311101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011133313 - 2¹⁶ = 1011067777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011133291 and 1011133300.

It is not a weakly prime, because it can be changed into another prime (1011133303) 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, 505566656 + 505566657.

It is an arithmetic number, because the mean of its divisors is an integer number (505566657).

Almost surely, 2^1011133313 is an apocalyptic number.

It is an amenable number.

1011133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011133313 is an equidigital number, since it uses as much as digits as its factorization.

1011133313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1011133313 is about 31798.3224872005. The cubic root of 1011133313 is about 1003.6974165949.

Adding to 1011133313 its reverse (3133311101), we get a palindrome (4144444414).

The spelling of 1011133313 in words is "one billion, eleven million, one hundred thirty-three thousand, three hundred thirteen".