13331312101 has 2 divisors, whose sum is σ = 13331312102. Its totient is φ = 13331312100.

The previous prime is 13331312087. The next prime is 13331312107. The reversal of 13331312101 is 10121313331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7581881476 + 5749430625 = 87074^2 + 75825^2 .

It is an emirp because it is prime and its reverse (10121313331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13331312101 - 2¹⁷ = 13331181029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331312107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665656050 + 6665656051.

It is an arithmetic number, because the mean of its divisors is an integer number (6665656051).

Almost surely, 2^13331312101 is an apocalyptic number.

It is an amenable number.

13331312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331312101 is an equidigital number, since it uses as much as digits as its factorization.

13331312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13331312101 its reverse (10121313331), we get a palindrome (23452625432).

The spelling of 13331312101 in words is "thirteen billion, three hundred thirty-one million, three hundred twelve thousand, one hundred one".