1006071134413 has 2 divisors, whose sum is σ = 1006071134414. Its totient is φ = 1006071134412.

The previous prime is 1006071134351. The next prime is 1006071134459. The reversal of 1006071134413 is 3144311706001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 730474483684 + 275596650729 = 854678^2 + 524973^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006071134413 - 2⁹ = 1006071133901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006071144413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503035567206 + 503035567207.

It is an arithmetic number, because the mean of its divisors is an integer number (503035567207).

Almost surely, 2^{1006071134413} is an apocalyptic number.

It is an amenable number.

1006071134413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006071134413 is an equidigital number, since it uses as much as digits as its factorization.

1006071134413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 1006071134413 in words is "one trillion, six billion, seventy-one million, one hundred thirty-four thousand, four hundred thirteen".