12133131120101 has 2 divisors, whose sum is σ = 12133131120102. Its totient is φ = 12133131120100.

The previous prime is 12133131120029. The next prime is 12133131120107. The reversal of 12133131120101 is 10102113133121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12132473248900 + 657871201 = 3483170^2 + 25649^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133131120101 - 2¹⁰ = 12133131119077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133131120107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066565560050 + 6066565560051.

It is an arithmetic number, because the mean of its divisors is an integer number (6066565560051).

Almost surely, 2^{12133131120101} is an apocalyptic number.

It is an amenable number.

12133131120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133131120101 is an equidigital number, since it uses as much as digits as its factorization.

12133131120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12133131120101 its reverse (10102113133121), we get a palindrome (22235244253222).

The spelling of 12133131120101 in words is "twelve trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred twenty thousand, one hundred one".