9971288051213 has 2 divisors, whose sum is σ = 9971288051214. Its totient is φ = 9971288051212.

The previous prime is 9971288051141. The next prime is 9971288051267. The reversal of 9971288051213 is 3121508821799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7233447903049 + 2737840148164 = 2689507^2 + 1654642^2 .

It is a cyclic number.

It is not a de Polignac number, because 9971288051213 - 2⁸ = 9971288050957 is a prime.

It is a super-3 number, since 3×9971288051213³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9971288051513) 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, 4985644025606 + 4985644025607.

It is an arithmetic number, because the mean of its divisors is an integer number (4985644025607).

Almost surely, 2^{9971288051213} is an apocalyptic number.

It is an amenable number.

9971288051213 is a deficient number, since it is larger than the sum of its proper divisors (1).

9971288051213 is an equidigital number, since it uses as much as digits as its factorization.

9971288051213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 9971288051213 in words is "nine trillion, nine hundred seventy-one billion, two hundred eighty-eight million, fifty-one thousand, two hundred thirteen".