2011120203013 has 2 divisors, whose sum is σ = 2011120203014. Its totient is φ = 2011120203012.

The previous prime is 2011120202989. The next prime is 2011120203049. The reversal of 2011120203013 is 3103020211102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1987541679204 + 23578523809 = 1409802^2 + 153553^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011120203013 - 2⁵ = 2011120202981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011120203413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005560101506 + 1005560101507.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560101507).

Almost surely, 2^{2011120203013} is an apocalyptic number.

It is an amenable number.

2011120203013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011120203013 is an equidigital number, since it uses as much as digits as its factorization.

2011120203013 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.

Adding to 2011120203013 its reverse (3103020211102), we get a palindrome (5114140414115).

The spelling of 2011120203013 in words is "two trillion, eleven billion, one hundred twenty million, two hundred three thousand, thirteen".