1003011311311 has 8 divisors (see below), whose sum is σ = 1010694780000. Its totient is φ = 995340534240.

The previous prime is 1003011311261. The next prime is 1003011311329. The reversal of 1003011311311 is 1131131103001.

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 1003011311311 - 2¹⁵ = 1003011278543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003011311371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3014211 + ... + 3330388.

It is an arithmetic number, because the mean of its divisors is an integer number (126336847500).

Almost surely, 2^{1003011311311} is an apocalyptic number.

1003011311311 is a deficient number, since it is larger than the sum of its proper divisors (7683468689).

1003011311311 is a wasteful number, since it uses less digits than its factorization.

1003011311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345809.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1003011311311 its reverse (1131131103001), we get a palindrome (2134142414312).

The spelling of 1003011311311 in words is "one trillion, three billion, eleven million, three hundred eleven thousand, three hundred eleven".