10131312111101 has 2 divisors, whose sum is σ = 10131312111102. Its totient is φ = 10131312111100.

The previous prime is 10131312110987. The next prime is 10131312111157. The reversal of 10131312111101 is 10111121313101.

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., 9388524964900 + 742787146201 = 3064070^2 + 861851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131312111101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131312111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131312111601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065656055550 + 5065656055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5065656055551).

Almost surely, 2^{10131312111101} is an apocalyptic number.

It is an amenable number.

10131312111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131312111101 is an equidigital number, since it uses as much as digits as its factorization.

10131312111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 10131312111101 its reverse (10111121313101), we get a palindrome (20242433424202).

The spelling of 10131312111101 in words is "ten trillion, one hundred thirty-one billion, three hundred twelve million, one hundred eleven thousand, one hundred one".