2071012101313 has 2 divisors, whose sum is σ = 2071012101314. Its totient is φ = 2071012101312.

The previous prime is 2071012101167. The next prime is 2071012101329. The reversal of 2071012101313 is 3131012101702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1383135940624 + 687876160689 = 1176068^2 + 829383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2071012101313 - 2¹³ = 2071012093121 is a prime.

It is a super-2 number, since 2×2071012101313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2071012104313) 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, 1035506050656 + 1035506050657.

It is an arithmetic number, because the mean of its divisors is an integer number (1035506050657).

Almost surely, 2^{2071012101313} is an apocalyptic number.

It is an amenable number.

2071012101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2071012101313 is an equidigital number, since it uses as much as digits as its factorization.

2071012101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 2071012101313 in words is "two trillion, seventy-one billion, twelve million, one hundred one thousand, three hundred thirteen".