13311133110101 has 2 divisors, whose sum is σ = 13311133110102. Its totient is φ = 13311133110100.

The previous prime is 13311133110043. The next prime is 13311133110109. The reversal of 13311133110101 is 10101133111331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13279537692100 + 31595418001 = 3644110^2 + 177751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311133110101 - 2¹⁰ = 13311133109077 is a prime.

It is a super-3 number, since 3×13311133110101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13311133110109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655566555050 + 6655566555051.

It is an arithmetic number, because the mean of its divisors is an integer number (6655566555051).

Almost surely, 2^{13311133110101} is an apocalyptic number.

It is an amenable number.

13311133110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311133110101 is an equidigital number, since it uses as much as digits as its factorization.

13311133110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 13311133110101 its reverse (10101133111331), we get a palindrome (23412266221432).

It can be divided in two parts, 133111331 and 10101, that multiplied together give a palindrome (1344557554431).

The spelling of 13311133110101 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-three million, one hundred ten thousand, one hundred one".