3311111100013 has 2 divisors, whose sum is σ = 3311111100014. Its totient is φ = 3311111100012.

The previous prime is 3311111099951. The next prime is 3311111100023. The reversal of 3311111100013 is 3100011111133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2524835194729 + 786275905284 = 1588973^2 + 886722^2 .

It is a cyclic number.

It is not a de Polignac number, because 3311111100013 - 2¹⁷ = 3311110968941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3311111100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3311111100023) 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, 1655555550006 + 1655555550007.

It is an arithmetic number, because the mean of its divisors is an integer number (1655555550007).

Almost surely, 2^{3311111100013} is an apocalyptic number.

It is an amenable number.

3311111100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3311111100013 is an equidigital number, since it uses as much as digits as its factorization.

3311111100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 3311111100013 its reverse (3100011111133), we get a palindrome (6411122211146).

The spelling of 3311111100013 in words is "three trillion, three hundred eleven billion, one hundred eleven million, one hundred thousand, thirteen".