2111331220013 has 2 divisors, whose sum is σ = 2111331220014. Its totient is φ = 2111331220012.

The previous prime is 2111331220003. The next prime is 2111331220049. The reversal of 2111331220013 is 3100221331112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1978191616324 + 133139603689 = 1406482^2 + 364883^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111331220013 - 2³⁴ = 2094151350829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111331220003) 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, 1055665610006 + 1055665610007.

It is an arithmetic number, because the mean of its divisors is an integer number (1055665610007).

Almost surely, 2^{2111331220013} is an apocalyptic number.

It is an amenable number.

2111331220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111331220013 is an equidigital number, since it uses as much as digits as its factorization.

2111331220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2111331220013 its reverse (3100221331112), we get a palindrome (5211552551125).

The spelling of 2111331220013 in words is "two trillion, one hundred eleven billion, three hundred thirty-one million, two hundred twenty thousand, thirteen".