31331133331212 has 192 divisors, whose sum is σ = 86217988792320. Its totient is φ = 8730215558400.

The previous prime is 31331133331171. The next prime is 31331133331219. The reversal of 31331133331212 is 21213333113313.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31331133331212.

It is not an unprimeable number, because it can be changed into a prime (31331133331219) 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 63 ways as a sum of consecutive naturals, for example, 487361623 + ... + 487425905.

It is an arithmetic number, because the mean of its divisors is an integer number (449052024960).

Almost surely, 2^{31331133331212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31331133331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43108994396160).

31331133331212 is an abundant number, since it is smaller than the sum of its proper divisors (54886855461108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31331133331212 is a wasteful number, since it uses less digits than its factorization.

31331133331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65404 (or 65402 counting only the distinct ones).

The product of its digits is 8748, while the sum is 30.

Adding to 31331133331212 its reverse (21213333113313), we get a palindrome (52544466444525).

The spelling of 31331133331212 in words is "thirty-one trillion, three hundred thirty-one billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred twelve".