71211032121313 has 8 divisors (see below), whose sum is σ = 81384094300032. Its totient is φ = 61037984340096.

The previous prime is 71211032121283. The next prime is 71211032121347. The reversal of 71211032121313 is 31312123011217.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71211032121313 - 2²⁵ = 71210998566881 is a prime.

It is a super-3 number, since 3×71211032121313³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71211032121013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10885356 + ... + 16152802.

It is an arithmetic number, because the mean of its divisors is an integer number (10173011787504).

Almost surely, 2^{71211032121313} is an apocalyptic number.

It is an amenable number.

71211032121313 is a deficient number, since it is larger than the sum of its proper divisors (10173062178719).

71211032121313 is a wasteful number, since it uses less digits than its factorization.

71211032121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198751.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 71211032121313 in words is "seventy-one trillion, two hundred eleven billion, thirty-two million, one hundred twenty-one thousand, three hundred thirteen".