2013131210333 has 2 divisors, whose sum is σ = 2013131210334. Its totient is φ = 2013131210332.

The previous prime is 2013131210323. The next prime is 2013131210341. The reversal of 2013131210333 is 3330121313102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1559768694649 + 453362515684 = 1248907^2 + 673322^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013131210333 - 2⁴ = 2013131210317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013131210299 and 2013131210308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013131210323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006565605166 + 1006565605167.

It is an arithmetic number, because the mean of its divisors is an integer number (1006565605167).

Almost surely, 2^{2013131210333} is an apocalyptic number.

It is an amenable number.

2013131210333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013131210333 is an equidigital number, since it uses as much as digits as its factorization.

2013131210333 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 23.

Adding to 2013131210333 its reverse (3330121313102), we get a palindrome (5343252523435).

The spelling of 2013131210333 in words is "two trillion, thirteen billion, one hundred thirty-one million, two hundred ten thousand, three hundred thirty-three".