1003311011311 has 12 divisors (see below), whose sum is σ = 1218058254448. Its totient is φ = 809393755392.

The previous prime is 1003311011273. The next prime is 1003311011333. The reversal of 1003311011311 is 1131101133001.

It is not a de Polignac number, because 1003311011311 - 2³⁵ = 968951272943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003311011411) 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, 247974006 + ... + 247978051.

Almost surely, 2^{1003311011311} is an apocalyptic number.

1003311011311 is a deficient number, since it is larger than the sum of its proper divisors (214747243137).

1003311011311 is an equidigital number, since it uses as much as digits as its factorization.

1003311011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495952098 (or 495952081 counting only the distinct ones).

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

Adding to 1003311011311 its reverse (1131101133001), we get a palindrome (2134412144312).

The spelling of 1003311011311 in words is "one trillion, three billion, three hundred eleven million, eleven thousand, three hundred eleven".