71431011013417 has 16 divisors (see below), whose sum is σ = 82027159369920. Its totient is φ = 61518692505600.

The previous prime is 71431011013337. The next prime is 71431011013423.

71431011013417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71431011013417 - 2¹⁵ = 71431010980649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71431011010417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13291333 + ... + 17875165.

It is an arithmetic number, because the mean of its divisors is an integer number (5126697460620).

Almost surely, 2^{71431011013417} is an apocalyptic number.

It is an amenable number.

71431011013417 is a deficient number, since it is larger than the sum of its proper divisors (10596148356503).

71431011013417 is a wasteful number, since it uses less digits than its factorization.

71431011013417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658424.

The product of its (nonzero) digits is 7056, while the sum is 34.

It can be divided in two parts, 7143101 and 1013417, that added together give a palindrome (8156518).

The spelling of 71431011013417 in words is "seventy-one trillion, four hundred thirty-one billion, eleven million, thirteen thousand, four hundred seventeen".