1011011013 has 6 divisors (see below), whose sum is σ = 1460349254. Its totient is φ = 674007336.

The previous prime is 1011010951. The next prime is 1011011017. The reversal of 1011011013 is 3101101101.

1011011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1007618049 + 3392964 = 31743^2 + 1842^2 .

It is not a de Polignac number, because 1011011013 - 2²² = 1006816709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112334557 = 1011011013 / (1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011010986 and 1011011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56167270 + ... + 56167287.

Almost surely, 2^1011011013 is an apocalyptic number.

It is an amenable number.

1011011013 is a deficient number, since it is larger than the sum of its proper divisors (449338241).

1011011013 is a wasteful number, since it uses less digits than its factorization.

1011011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112334563 (or 112334560 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1011011013 is about 31796.3993716270. The cubic root of 1011011013 is about 1003.6569480955.

Adding to 1011011013 its reverse (3101101101), we get a palindrome (4112112114).

It can be divided in two parts, 101101101 and 3, that multiplied together give a palindrome (303303303).

The spelling of 1011011013 in words is "one billion, eleven million, eleven thousand, thirteen".