31305433521213 has 24 divisors (see below), whose sum is σ = 45620748608760. Its totient is φ = 20684861030400.

The previous prime is 31305433521199. The next prime is 31305433521293. The reversal of 31305433521213 is 31212533450313.

31305433521213 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 5 + 433 + 5 + 2 + 1 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8358823492569 + 22946610028644 = 2891163^2 + 4790262^2 .

It is not a de Polignac number, because 31305433521213 - 2¹⁶ = 31305433455677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31305433521293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28859773 + ... + 29924861.

It is an arithmetic number, because the mean of its divisors is an integer number (1900864525365).

Almost surely, 2^{31305433521213} is an apocalyptic number.

It is an amenable number.

31305433521213 is a deficient number, since it is larger than the sum of its proper divisors (14315315087547).

31305433521213 is a wasteful number, since it uses less digits than its factorization.

31305433521213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094109 (or 1094106 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 31305433521213 its reverse (31212533450313), we get a palindrome (62517966971526).

The spelling of 31305433521213 in words is "thirty-one trillion, three hundred five billion, four hundred thirty-three million, five hundred twenty-one thousand, two hundred thirteen".