1011200013 has 6 divisors (see below), whose sum is σ = 1460622254. Its totient is φ = 674133336.

The previous prime is 1011200011. The next prime is 1011200041. The reversal of 1011200013 is 3100021101.

It can be written as a sum of positive squares in only one way, i.e., 1003812489 + 7387524 = 31683^2 + 2718^2 .

It is not a de Polignac number, because 1011200013 - 2¹ = 1011200011 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: 112355557 = 1011200013 / (1 + 0 + 1 + 1 + 2 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011199968 and 1011200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011200011) 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 5 ways as a sum of consecutive naturals, for example, 56177770 + ... + 56177787.

Almost surely, 2^1011200013 is an apocalyptic number.

It is an amenable number.

1011200013 is a deficient number, since it is larger than the sum of its proper divisors (449422241).

1011200013 is a wasteful number, since it uses less digits than its factorization.

1011200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112355563 (or 112355560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011200013 is about 31799.3712673694. The cubic root of 1011200013 is about 1003.7194859385.

Adding to 1011200013 its reverse (3100021101), we get a palindrome (4111221114).

The spelling of 1011200013 in words is "one billion, eleven million, two hundred thousand, thirteen".