10131011231101 has 2 divisors, whose sum is σ = 10131011231102. Its totient is φ = 10131011231100.

The previous prime is 10131011231063. The next prime is 10131011231129. The reversal of 10131011231101 is 10113211013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8298374876100 + 1832636355001 = 2880690^2 + 1353749^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131011231101 - 2⁷ = 10131011230973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131011231141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065505615550 + 5065505615551.

It is an arithmetic number, because the mean of its divisors is an integer number (5065505615551).

Almost surely, 2^{10131011231101} is an apocalyptic number.

It is an amenable number.

10131011231101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131011231101 is an equidigital number, since it uses as much as digits as its factorization.

10131011231101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10131011231101 its reverse (10113211013101), we get a palindrome (20244222244202).

The spelling of 10131011231101 in words is "ten trillion, one hundred thirty-one billion, eleven million, two hundred thirty-one thousand, one hundred one".