132013221012 has 144 divisors (see below), whose sum is σ = 351235684800. Its totient is φ = 43350888960.

The previous prime is 132013220993. The next prime is 132013221029. The reversal of 132013221012 is 210122310231.

132013221012 is a `hidden beast` number, since 1 + 320 + 1 + 322 + 10 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18961212 + ... + 18968172.

It is an arithmetic number, because the mean of its divisors is an integer number (2439136700).

Almost surely, 2^132013221012 is an apocalyptic number.

132013221012 is a gapful number since it is divisible by the number (12) 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 132013221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175617842400).

132013221012 is an abundant number, since it is smaller than the sum of its proper divisors (219222463788).

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

132013221012 is a wasteful number, since it uses less digits than its factorization.

132013221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132013221012 its reverse (210122310231), we get a palindrome (342135531243).

The spelling of 132013221012 in words is "one hundred thirty-two billion, thirteen million, two hundred twenty-one thousand, twelve".