10131032132201 has 2 divisors, whose sum is σ = 10131032132202. Its totient is φ = 10131032132200.

The previous prime is 10131032132173. The next prime is 10131032132209. The reversal of 10131032132201 is 10223123013101.

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., 10048272349801 + 82759782400 = 3169901^2 + 287680^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131032132201 - 2²² = 10131027937897 is a prime.

It is a super-2 number, since 2×10131032132201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10131032132209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065516066100 + 5065516066101.

It is an arithmetic number, because the mean of its divisors is an integer number (5065516066101).

Almost surely, 2^{10131032132201} is an apocalyptic number.

It is an amenable number.

10131032132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131032132201 is an equidigital number, since it uses as much as digits as its factorization.

10131032132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10131032132201 its reverse (10223123013101), we get a palindrome (20354155145302).

The spelling of 10131032132201 in words is "ten trillion, one hundred thirty-one billion, thirty-two million, one hundred thirty-two thousand, two hundred one".