10001131073 has 2 divisors, whose sum is σ = 10001131074. Its totient is φ = 10001131072.

The previous prime is 10001131069. The next prime is 10001131079. The reversal of 10001131073 is 37013110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7182901504 + 2818229569 = 84752^2 + 53087^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001131073 - 2² = 10001131069 is a prime.

It is a super-2 number, since 2×10001131073² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001131079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000565536 + 5000565537.

It is an arithmetic number, because the mean of its divisors is an integer number (5000565537).

Almost surely, 2^10001131073 is an apocalyptic number.

It is an amenable number.

10001131073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001131073 is an equidigital number, since it uses as much as digits as its factorization.

10001131073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

Adding to 10001131073 its reverse (37013110001), we get a palindrome (47014241074).

The spelling of 10001131073 in words is "ten billion, one million, one hundred thirty-one thousand, seventy-three".