31266066213 has 12 divisors (see below), whose sum is σ = 45181821100. Its totient is φ = 20834940096.

The previous prime is 31266066193. The next prime is 31266066257.

31266066213 is a `hidden beast` number, since 3 + 1 + 26 + 6 + 0 + 6 + 621 + 3 = 666.

31266066213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13642707204 + 17623359009 = 116802^2 + 132753^2 .

It is not a de Polignac number, because 31266066213 - 2²⁵ = 31232511781 is a prime.

It is a super-2 number, since 2×31266066213² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31266066913) 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 11 ways as a sum of consecutive naturals, for example, 736888 + ... + 778161.

Almost surely, 2^31266066213 is an apocalyptic number.

It is an amenable number.

31266066213 is a deficient number, since it is larger than the sum of its proper divisors (13915754887).

31266066213 is a wasteful number, since it uses less digits than its factorization.

31266066213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517348 (or 1517345 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 312660 and 66213, that added together give a palindrome (378873).

The spelling of 31266066213 in words is "thirty-one billion, two hundred sixty-six million, sixty-six thousand, two hundred thirteen".