71312713353 has 36 divisors (see below), whose sum is σ = 119884211460. Its totient is φ = 40729905216.

The previous prime is 71312713343. The next prime is 71312713391. The reversal of 71312713353 is 35331721317.

71312713353 is a `hidden beast` number, since 7 + 1 + 31 + 271 + 3 + 353 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4246216569 + 67066496784 = 65163^2 + 258972^2 .

It is not a de Polignac number, because 71312713353 - 2⁴ = 71312713337 is a prime.

It is a super-3 number, since 3×71312713353³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71312713343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 873351 + ... + 951507.

It is an arithmetic number, because the mean of its divisors is an integer number (3330116985).

Almost surely, 2^71312713353 is an apocalyptic number.

It is an amenable number.

71312713353 is a deficient number, since it is larger than the sum of its proper divisors (48571498107).

71312713353 is a wasteful number, since it uses less digits than its factorization.

71312713353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80246 (or 80236 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The spelling of 71312713353 in words is "seventy-one billion, three hundred twelve million, seven hundred thirteen thousand, three hundred fifty-three".