2013030211331 has 8 divisors (see below), whose sum is σ = 2134528344144. Its totient is φ = 1891874810880.

The previous prime is 2013030211321. The next prime is 2013030211417. The reversal of 2013030211331 is 1331120303102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013030211331 is a prime.

It is a super-4 number, since 4×2013030211331⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2013030211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85670990 + ... + 85694483.

It is an arithmetic number, because the mean of its divisors is an integer number (266816043018).

Almost surely, 2^{2013030211331} is an apocalyptic number.

2013030211331 is a deficient number, since it is larger than the sum of its proper divisors (121498132813).

2013030211331 is a wasteful number, since it uses less digits than its factorization.

2013030211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171366181.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2013030211331 its reverse (1331120303102), we get a palindrome (3344150514433).

The spelling of 2013030211331 in words is "two trillion, thirteen billion, thirty million, two hundred eleven thousand, three hundred thirty-one".