2011311013 has 2 divisors, whose sum is σ = 2011311014. Its totient is φ = 2011311012.

The previous prime is 2011311011. The next prime is 2011311019. The reversal of 2011311013 is 3101131102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1896863809 + 114447204 = 43553^2 + 10698^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011311013 - 2¹ = 2011311011 is a prime.

Together with 2011311011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2011310984 and 2011311002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011311011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005655506 + 1005655507.

It is an arithmetic number, because the mean of its divisors is an integer number (1005655507).

Almost surely, 2^2011311013 is an apocalyptic number.

It is an amenable number.

2011311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011311013 is an equidigital number, since it uses as much as digits as its factorization.

2011311013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2011311013 is about 44847.6422234213. The cubic root of 2011311013 is about 1262.2917502212.

Adding to 2011311013 its reverse (3101131102), we get a palindrome (5112442115).

The spelling of 2011311013 in words is "two billion, eleven million, three hundred eleven thousand, thirteen".