111931062721 has 3 divisors (see below), whose sum is σ = 111931397283. Its totient is φ = 111930728160.

The previous prime is 111931062701. The next prime is 111931062767. The reversal of 111931062721 is 127260139111.

It is a happy number.

The square root of 111931062721 is 334561.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9582256321 + 102348806400 = 97889^2 + 319920^2 .

It is not a de Polignac number, because 111931062721 - 2¹⁷ = 111930931649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111931062701) 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 2 ways as a sum of consecutive naturals, for example, 167281 + ... + 501841.

It is an arithmetic number, because the mean of its divisors is an integer number (37310465761).

Almost surely, 2^111931062721 is an apocalyptic number.

111931062721 is the 334561-st square number.

111931062721 is the 167281-st centered octagonal number.

It is an amenable number.

111931062721 is a deficient number, since it is larger than the sum of its proper divisors (334562).

111931062721 is an frugal number, since it uses more digits than its factorization.

111931062721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669122 (or 334561 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 111931062721 in words is "one hundred eleven billion, nine hundred thirty-one million, sixty-two thousand, seven hundred twenty-one".