13331102033101 has 2 divisors, whose sum is σ = 13331102033102. Its totient is φ = 13331102033100.

The previous prime is 13331102033099. The next prime is 13331102033107. The reversal of 13331102033101 is 10133020113331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13323923538025 + 7178495076 = 3650195^2 + 84726^2 .

It is an emirp because it is prime and its reverse (10133020113331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13331102033101 - 2¹ = 13331102033099 is a prime.

It is a super-4 number, since 4×13331102033101⁴ (a number of 54 digits) contains 4444 as substring.

Together with 13331102033099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331102033107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665551016550 + 6665551016551.

It is an arithmetic number, because the mean of its divisors is an integer number (6665551016551).

Almost surely, 2^{13331102033101} is an apocalyptic number.

It is an amenable number.

13331102033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331102033101 is an equidigital number, since it uses as much as digits as its factorization.

13331102033101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13331102033101 its reverse (10133020113331), we get a palindrome (23464122146432).

The spelling of 13331102033101 in words is "thirteen trillion, three hundred thirty-one billion, one hundred two million, thirty-three thousand, one hundred one".