31066126337 has 4 divisors (see below), whose sum is σ = 31066482756. Its totient is φ = 31065769920.

The previous prime is 31066126319. The next prime is 31066126363. The reversal of 31066126337 is 73362166013.

It is a happy 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, and also an emirpimes, since its reverse is a distinct semiprime: 73362166013 = 139 ⋅527785367.

It can be written as a sum of positive squares in 2 ways, for example, as 22661087296 + 8405039041 = 150536^2 + 91679^2 .

It is a cyclic number.

It is not a de Polignac number, because 31066126337 - 2¹⁶ = 31066060801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31066126337.

It is not an unprimeable number, because it can be changed into a prime (31066126367) 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, 49637 + ... + 254157.

It is an arithmetic number, because the mean of its divisors is an integer number (7766620689).

Almost surely, 2^31066126337 is an apocalyptic number.

It is an amenable number.

31066126337 is a deficient number, since it is larger than the sum of its proper divisors (356419).

31066126337 is a wasteful number, since it uses less digits than its factorization.

31066126337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356418.

The product of its (nonzero) digits is 81648, while the sum is 38.

The spelling of 31066126337 in words is "thirty-one billion, sixty-six million, one hundred twenty-six thousand, three hundred thirty-seven".