1003111011013 has 8 divisors (see below), whose sum is σ = 1014445069400. Its totient is φ = 991797212160.

The previous prime is 1003111010981. The next prime is 1003111011017. The reversal of 1003111011013 is 3101101113001.

It can be written as a sum of positive squares in 4 ways, for example, as 341169305409 + 661941705604 = 584097^2 + 813598^2 .

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 1003111011013 - 2⁵ = 1003111010981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003111010984 and 1003111011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003111011017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4965288 + ... + 5163361.

It is an arithmetic number, because the mean of its divisors is an integer number (126805633675).

Almost surely, 2^{1003111011013} is an apocalyptic number.

It is an amenable number.

1003111011013 is a deficient number, since it is larger than the sum of its proper divisors (11334058387).

1003111011013 is a wasteful number, since it uses less digits than its factorization.

1003111011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129767.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1003111011013 its reverse (3101101113001), we get a palindrome (4104212124014).

The spelling of 1003111011013 in words is "one trillion, three billion, one hundred eleven million, eleven thousand, thirteen".