10133031312161 has 2 divisors, whose sum is σ = 10133031312162. Its totient is φ = 10133031312160.

The previous prime is 10133031312119. The next prime is 10133031312163. The reversal of 10133031312161 is 16121313033101.

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., 9570088725136 + 562942587025 = 3093556^2 + 750295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10133031312161 is a prime.

Together with 10133031312163, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10133031312161.

It is not a weakly prime, because it can be changed into another prime (10133031312163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066515656080 + 5066515656081.

It is an arithmetic number, because the mean of its divisors is an integer number (5066515656081).

Almost surely, 2^{10133031312161} is an apocalyptic number.

It is an amenable number.

10133031312161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133031312161 is an equidigital number, since it uses as much as digits as its factorization.

10133031312161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 10133031312161 its reverse (16121313033101), we get a palindrome (26254344345262).

The spelling of 10133031312161 in words is "ten trillion, one hundred thirty-three billion, thirty-one million, three hundred twelve thousand, one hundred sixty-one".