13033131101 has 2 divisors, whose sum is σ = 13033131102. Its totient is φ = 13033131100.

The previous prime is 13033131061. The next prime is 13033131131. The reversal of 13033131101 is 10113133031.

13033131101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8627623225 + 4405507876 = 92885^2 + 66374^2 .

It is a cyclic number.

It is not a de Polignac number, because 13033131101 - 2²² = 13028936797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13033131101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13033131131) 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, 6516565550 + 6516565551.

It is an arithmetic number, because the mean of its divisors is an integer number (6516565551).

Almost surely, 2^13033131101 is an apocalyptic number.

It is an amenable number.

13033131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033131101 is an equidigital number, since it uses as much as digits as its factorization.

13033131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13033131101 its reverse (10113133031), we get a palindrome (23146264132).

The spelling of 13033131101 in words is "thirteen billion, thirty-three million, one hundred thirty-one thousand, one hundred one".