2013302131 has 2 divisors, whose sum is σ = 2013302132. Its totient is φ = 2013302130.

The previous prime is 2013302087. The next prime is 2013302147. The reversal of 2013302131 is 1312033102.

It is an a-pointer prime, because the next prime (2013302147) can be obtained adding 2013302131 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2013302131 - 2¹¹ = 2013300083 is a prime.

It is a super-2 number, since 2×2013302131² = 8106770941378282322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013308131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006651065 + 1006651066.

It is an arithmetic number, because the mean of its divisors is an integer number (1006651066).

Almost surely, 2^2013302131 is an apocalyptic number.

2013302131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013302131 is an equidigital number, since it uses as much as digits as its factorization.

2013302131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2013302131 is about 44869.8354242580. The cubic root of 2013302131 is about 1262.7081524062.

Adding to 2013302131 its reverse (1312033102), we get a palindrome (3325335233).

The spelling of 2013302131 in words is "two billion, thirteen million, three hundred two thousand, one hundred thirty-one".