71021020013 has 2 divisors, whose sum is σ = 71021020014. Its totient is φ = 71021020012.

The previous prime is 71021019997. The next prime is 71021020067. The reversal of 71021020013 is 31002012017.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70366581289 + 654438724 = 265267^2 + 25582^2 .

It is a cyclic number.

It is not a de Polignac number, because 71021020013 - 2⁴ = 71021019997 is a prime.

It is a super-3 number, since 3×71021020013³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71021019973 and 71021020000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71021620013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35510510006 + 35510510007.

It is an arithmetic number, because the mean of its divisors is an integer number (35510510007).

Almost surely, 2^71021020013 is an apocalyptic number.

It is an amenable number.

71021020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

71021020013 is an equidigital number, since it uses as much as digits as its factorization.

71021020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The spelling of 71021020013 in words is "seventy-one billion, twenty-one million, twenty thousand, thirteen".