2013030331231 has 2 divisors, whose sum is σ = 2013030331232. Its totient is φ = 2013030331230.

The previous prime is 2013030331229. The next prime is 2013030331259. The reversal of 2013030331231 is 1321330303102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2013030331231 - 2¹ = 2013030331229 is a prime.

It is a super-3 number, since 3×2013030331231³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2013030331229, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013030331211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006515165615 + 1006515165616.

It is an arithmetic number, because the mean of its divisors is an integer number (1006515165616).

Almost surely, 2^{2013030331231} is an apocalyptic number.

2013030331231 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013030331231 is an equidigital number, since it uses as much as digits as its factorization.

2013030331231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2013030331231 its reverse (1321330303102), we get a palindrome (3334360634333).

The spelling of 2013030331231 in words is "two trillion, thirteen billion, thirty million, three hundred thirty-one thousand, two hundred thirty-one".