13034312100101 has 2 divisors, whose sum is σ = 13034312100102. Its totient is φ = 13034312100100.

The previous prime is 13034312100041. The next prime is 13034312100169. The reversal of 13034312100101 is 10100121343031.

13034312100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12983518660225 + 50793439876 = 3603265^2 + 225374^2 .

It is a cyclic number.

It is not a de Polignac number, because 13034312100101 - 2²² = 13034307905797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13034312100191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6517156050050 + 6517156050051.

It is an arithmetic number, because the mean of its divisors is an integer number (6517156050051).

Almost surely, 2^{13034312100101} is an apocalyptic number.

It is an amenable number.

13034312100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13034312100101 is an equidigital number, since it uses as much as digits as its factorization.

13034312100101 is an evil number, because the sum of its binary digits is even.

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

Adding to 13034312100101 its reverse (10100121343031), we get a palindrome (23134433443132).

The spelling of 13034312100101 in words is "thirteen trillion, thirty-four billion, three hundred twelve million, one hundred thousand, one hundred one".