1000111001013 has 12 divisors (see below), whose sum is σ = 1446790271628. Its totient is φ = 665731978560.

The previous prime is 1000111001003. The next prime is 1000111001063. The reversal of 1000111001013 is 3101001110001.

It can be written as a sum of positive squares in 2 ways, for example, as 937647495684 + 62463505329 = 968322^2 + 249927^2 .

It is not a de Polignac number, because 1000111001013 - 2¹⁰ = 1000110999989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000111000986 and 1000111001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111001003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84051120 + ... + 84063017.

It is an arithmetic number, because the mean of its divisors is an integer number (120565855969).

Almost surely, 2^{1000111001013} is an apocalyptic number.

It is an amenable number.

1000111001013 is a deficient number, since it is larger than the sum of its proper divisors (446679270615).

1000111001013 is a wasteful number, since it uses less digits than its factorization.

1000111001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168114804 (or 168114801 counting only the distinct ones).

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

Adding to 1000111001013 its reverse (3101001110001), we get a palindrome (4101112111014).

The spelling of 1000111001013 in words is "one trillion, one hundred eleven million, one thousand, thirteen".