13341101100101 has 8 divisors (see below), whose sum is σ = 13804210901880. Its totient is φ = 12878196087232.

The previous prime is 13341101100079. The next prime is 13341101100109. The reversal of 13341101100101 is 10100110114331.

It can be written as a sum of positive squares in 4 ways, for example, as 10476971344225 + 2864129755876 = 3236815^2 + 1692374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13341101100101 is a prime.

It is a super-2 number, since 2×13341101100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13341101100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341101100109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51064670 + ... + 51325263.

It is an arithmetic number, because the mean of its divisors is an integer number (1725526362735).

Almost surely, 2^{13341101100101} is an apocalyptic number.

It is an amenable number.

13341101100101 is a deficient number, since it is larger than the sum of its proper divisors (463109801779).

13341101100101 is a wasteful number, since it uses less digits than its factorization.

13341101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102394455.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13341101100101 its reverse (10100110114331), we get a palindrome (23441211214432).

The spelling of 13341101100101 in words is "thirteen trillion, three hundred forty-one billion, one hundred one million, one hundred thousand, one hundred one".