9971288011213 has 2 divisors, whose sum is σ = 9971288011214. Its totient is φ = 9971288011212.

The previous prime is 9971288011193. The next prime is 9971288011259. The reversal of 9971288011213 is 3121108821799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6673965893604 + 3297322117609 = 2583402^2 + 1815853^2 .

It is a cyclic number.

It is not a de Polignac number, because 9971288011213 - 2²⁵ = 9971254456781 is a prime.

It is a super-3 number, since 3×9971288011213³ (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 (9971288051213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4985644005606 + 4985644005607.

It is an arithmetic number, because the mean of its divisors is an integer number (4985644005607).

Almost surely, 2^{9971288011213} is an apocalyptic number.

It is an amenable number.

9971288011213 is a deficient number, since it is larger than the sum of its proper divisors (1).

9971288011213 is an equidigital number, since it uses as much as digits as its factorization.

9971288011213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 9971288011213 in words is "nine trillion, nine hundred seventy-one billion, two hundred eighty-eight million, eleven thousand, two hundred thirteen".