2013131221 has 2 divisors, whose sum is σ = 2013131222. Its totient is φ = 2013131220.

The previous prime is 2013131209. The next prime is 2013131233. The reversal of 2013131221 is 1221313102.

It is a balanced prime because it is at equal distance from previous prime (2013131209) and next prime (2013131233).

It can be written as a sum of positive squares in only one way, i.e., 1561356196 + 451775025 = 39514^2 + 21255^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013131221 - 2¹⁵ = 2013098453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013131195 and 2013131204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013131291) 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 as a sum of consecutive naturals, namely, 1006565610 + 1006565611.

It is an arithmetic number, because the mean of its divisors is an integer number (1006565611).

Almost surely, 2^2013131221 is an apocalyptic number.

It is an amenable number.

2013131221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013131221 is an equidigital number, since it uses as much as digits as its factorization.

2013131221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2013131221 is about 44867.9308749579. The cubic root of 2013131221 is about 1262.6724207999.

Adding to 2013131221 its reverse (1221313102), we get a palindrome (3234444323).

The spelling of 2013131221 in words is "two billion, thirteen million, one hundred thirty-one thousand, two hundred twenty-one".