10137128971 has 2 divisors, whose sum is σ = 10137128972. Its totient is φ = 10137128970.

The previous prime is 10137128941. The next prime is 10137128987. The reversal of 10137128971 is 17982173101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10137128971 - 2¹⁹ = 10136604683 is a prime.

It is a super-2 number, since 2×10137128971² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10137128921) 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, 5068564485 + 5068564486.

It is an arithmetic number, because the mean of its divisors is an integer number (5068564486).

Almost surely, 2^10137128971 is an apocalyptic number.

10137128971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137128971 is an equidigital number, since it uses as much as digits as its factorization.

10137128971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 40.

The spelling of 10137128971 in words is "ten billion, one hundred thirty-seven million, one hundred twenty-eight thousand, nine hundred seventy-one".