1011231013 has 4 divisors (see below), whose sum is σ = 1089018028. Its totient is φ = 933444000.

The previous prime is 1011230993. The next prime is 1011231017. The reversal of 1011231013 is 3101321101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3101321101 = 17 ⋅182430653.

It can be written as a sum of positive squares in 2 ways, for example, as 358837249 + 652393764 = 18943^2 + 25542^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011231013 - 2⁹ = 1011230501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 77787001 = 1011231013 / (1 + 0 + 1 + 1 + 2 + 3 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011230984 and 1011231002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011231017) 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 in 3 ways as a sum of consecutive naturals, for example, 38893488 + ... + 38893513.

It is an arithmetic number, because the mean of its divisors is an integer number (272254507).

Almost surely, 2^1011231013 is an apocalyptic number.

1011231013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011231013 is a deficient number, since it is larger than the sum of its proper divisors (77787015).

1011231013 is an equidigital number, since it uses as much as digits as its factorization.

1011231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77787014.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1011231013 is about 31799.8586946546. The cubic root of 1011231013 is about 1003.7297427244.

Adding to 1011231013 its reverse (3101321101), we get a palindrome (4112552114).

The spelling of 1011231013 in words is "one billion, eleven million, two hundred thirty-one thousand, thirteen".