1011012223313 has 8 divisors (see below), whose sum is σ = 1024284329256. Its totient is φ = 997804080000.

The previous prime is 1011012223201. The next prime is 1011012223321. The reversal of 1011012223313 is 3133222101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34281263104 + 976730960209 = 185152^2 + 988297^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011012223313 - 2⁸ = 1011012223057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011012222313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15958838 + ... + 16022063.

It is an arithmetic number, because the mean of its divisors is an integer number (128035541157).

Almost surely, 2^{1011012223313} is an apocalyptic number.

It is an amenable number.

1011012223313 is a deficient number, since it is larger than the sum of its proper divisors (13272105943).

1011012223313 is a wasteful number, since it uses less digits than its factorization.

1011012223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31981315.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1011012223313 its reverse (3133222101101), we get a palindrome (4144234324414).

The spelling of 1011012223313 in words is "one trillion, eleven billion, twelve million, two hundred twenty-three thousand, three hundred thirteen".