13131133321212 has 72 divisors (see below), whose sum is σ = 34673197484016. Its totient is φ = 4345095166848.

The previous prime is 13131133321177. The next prime is 13131133321213. The reversal of 13131133321212 is 21212333113131.

13131133321212 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 113 + 332 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131133321213) 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, 49171203 + ... + 49437530.

It is an arithmetic number, because the mean of its divisors is an integer number (481572187278).

Almost surely, 2^{13131133321212} is an apocalyptic number.

13131133321212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131133321212 is an abundant number, since it is smaller than the sum of its proper divisors (21542064162804).

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

13131133321212 is a wasteful number, since it uses less digits than its factorization.

13131133321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98608889 (or 98608875 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13131133321212 its reverse (21212333113131), we get a palindrome (34343466434343).

The spelling of 13131133321212 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-one thousand, two hundred twelve".