131212133112000 has 224 divisors, whose sum is σ = 433320515469504. Its totient is φ = 34985213952000.

The previous prime is 131212133111963. The next prime is 131212133112019. The reversal of 131212133112000 is 211331212131.

131212133112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180621504 + ... + 181346496.

Almost surely, 2^{131212133112000} is an apocalyptic number.

131212133112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212133112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216660257734752).

131212133112000 is an abundant number, since it is smaller than the sum of its proper divisors (302108382357504).

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

131212133112000 is an equidigital number, since it uses as much as digits as its factorization.

131212133112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732564 (or 732544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131212133112000 its reverse (211331212131), we get a palindrome (131423464324131).

The spelling of 131212133112000 in words is "one hundred thirty-one trillion, two hundred twelve billion, one hundred thirty-three million, one hundred twelve thousand".