71111011111001 has 4 divisors (see below), whose sum is σ = 71132514292752. Its totient is φ = 71089507929252.

The previous prime is 71111011110983. The next prime is 71111011111003. The reversal of 71111011111001 is 10011111011117.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 71111011111001 - 2³⁴ = 71093831241817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71111011111003) 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 in 3 ways as a sum of consecutive naturals, for example, 10751585915 + ... + 10751592528.

It is an arithmetic number, because the mean of its divisors is an integer number (17783128573188).

Almost surely, 2^{71111011111001} is an apocalyptic number.

It is an amenable number.

71111011111001 is a deficient number, since it is larger than the sum of its proper divisors (21503181751).

71111011111001 is a wasteful number, since it uses less digits than its factorization.

71111011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21503181750.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 71111011111001 its reverse (10011111011117), we get a palindrome (81122122122118).

The spelling of 71111011111001 in words is "seventy-one trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one".