71102813 has 2 divisors, whose sum is σ = 71102814. Its totient is φ = 71102812.

The previous prime is 71102797. The next prime is 71102819. The reversal of 71102813 is 31820117.

71102813 = 5962² + 5963².

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., 35557369 + 35545444 = 5963^2 + 5962^2 .

It is a cyclic number.

It is not a de Polignac number, because 71102813 - 2⁴ = 71102797 is a prime.

It is a super-2 number, since 2×71102813² = 10111220033025938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71102819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35551406 + 35551407.

It is an arithmetic number, because the mean of its divisors is an integer number (35551407).

Almost surely, 2^71102813 is an apocalyptic number.

71102813 is the 5963-rd centered square number.

It is an amenable number.

71102813 is a deficient number, since it is larger than the sum of its proper divisors (1).

71102813 is an equidigital number, since it uses as much as digits as its factorization.

71102813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 71102813 is about 8432.2483952977. The cubic root of 71102813 is about 414.2815517333.

The spelling of 71102813 in words is "seventy-one million, one hundred two thousand, eight hundred thirteen".