31064114043361 has 9 divisors (see below), whose sum is σ = 36135851516499. Its totient is φ = 26626350024624.

The previous prime is 31064114043353. The next prime is 31064114043373. The reversal of 31064114043361 is 16334041146013.

The square root of 31064114043361 is 5573519.

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

It can be written as a sum of positive squares in only one way, i.e., 6750773150625 + 24313340892736 = 2598225^2 + 4930856^2 .

It is not a de Polignac number, because 31064114043361 - 2³ = 31064114043353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31064114043361.

It is not an unprimeable number, because it can be changed into a prime (31064114043301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38616525 + ... + 39412741.

Almost surely, 2^{31064114043361} is an apocalyptic number.

31064114043361 is the 5573519-th square number.

31064114043361 is the 2786760-th centered octagonal number.

It is an amenable number.

31064114043361 is a deficient number, since it is larger than the sum of its proper divisors (5071737473138).

31064114043361 is an frugal number, since it uses more digits than its factorization.

31064114043361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592448 (or 796224 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 31064114043361 its reverse (16334041146013), we get a palindrome (47398155189374).

The spelling of 31064114043361 in words is "thirty-one trillion, sixty-four billion, one hundred fourteen million, forty-three thousand, three hundred sixty-one".