1003313031311 has 8 divisors (see below), whose sum is σ = 1011888653184. Its totient is φ = 994762819800.

The previous prime is 1003313031239. The next prime is 1003313031397. The reversal of 1003313031311 is 1131303133001.

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 1003313031311 - 2²⁶ = 1003245922447 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 (1003313231311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6273281 + ... + 6431226.

It is an arithmetic number, because the mean of its divisors is an integer number (126486081648).

Almost surely, 2^{1003313031311} is an apocalyptic number.

1003313031311 is a deficient number, since it is larger than the sum of its proper divisors (8575621873).

1003313031311 is a wasteful number, since it uses less digits than its factorization.

1003313031311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705181.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1003313031311 its reverse (1131303133001), we get a palindrome (2134616164312).

The spelling of 1003313031311 in words is "one trillion, three billion, three hundred thirteen million, thirty-one thousand, three hundred eleven".