13033020111101 has 2 divisors, whose sum is σ = 13033020111102. Its totient is φ = 13033020111100.

The previous prime is 13033020111053. The next prime is 13033020111173. The reversal of 13033020111101 is 10111102033031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12779009151076 + 254010960025 = 3574774^2 + 503995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13033020111101 is a prime.

It is a super-2 number, since 2×13033020111101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13033020111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13033020111191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516510055550 + 6516510055551.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510055551).

Almost surely, 2^{13033020111101} is an apocalyptic number.

It is an amenable number.

13033020111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033020111101 is an equidigital number, since it uses as much as digits as its factorization.

13033020111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13033020111101 its reverse (10111102033031), we get a palindrome (23144122144132).

The spelling of 13033020111101 in words is "thirteen trillion, thirty-three billion, twenty million, one hundred eleven thousand, one hundred one".