2013131311331 has 8 divisors (see below), whose sum is σ = 2356836657504. Its totient is φ = 1683454754880.

The previous prime is 2013131311271. The next prime is 2013131311339. The reversal of 2013131311331 is 1331131313102.

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 2013131311331 - 2⁶ = 2013131311267 is a prime.

It is a super-2 number, since 2×2013131311331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013131311297 and 2013131311306.

It is not an unprimeable number, because it can be changed into a prime (2013131311339) 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, 3507197120 + ... + 3507197693.

It is an arithmetic number, because the mean of its divisors is an integer number (294604582188).

Almost surely, 2^{2013131311331} is an apocalyptic number.

2013131311331 is a deficient number, since it is larger than the sum of its proper divisors (343705346173).

2013131311331 is an equidigital number, since it uses as much as digits as its factorization.

2013131311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014394861.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 2013131311331 its reverse (1331131313102), we get a palindrome (3344262624433).

The spelling of 2013131311331 in words is "two trillion, thirteen billion, one hundred thirty-one million, three hundred eleven thousand, three hundred thirty-one".