2013414131 has 2 divisors, whose sum is σ = 2013414132. Its totient is φ = 2013414130.

The previous prime is 2013414103. The next prime is 2013414167. The reversal of 2013414131 is 1314143102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2013414131 - 2¹⁰ = 2013413107 is a prime.

It is a super-2 number, since 2×2013414131² = 8107672925820970322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013414031) 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, 1006707065 + 1006707066.

It is an arithmetic number, because the mean of its divisors is an integer number (1006707066).

Almost surely, 2^2013414131 is an apocalyptic number.

2013414131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013414131 is an equidigital number, since it uses as much as digits as its factorization.

2013414131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2013414131 is about 44871.0834614008. The cubic root of 2013414131 is about 1262.7315667907.

Adding to 2013414131 its reverse (1314143102), we get a palindrome (3327557233).

The spelling of 2013414131 in words is "two billion, thirteen million, four hundred fourteen thousand, one hundred thirty-one".