132013221311010 has 128 divisors (see below), whose sum is σ = 361571069631744. Its totient is φ = 30558925946880.

The previous prime is 132013221311009. The next prime is 132013221311011. The reversal of 132013221311010 is 10113122310231.

132013221311010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132013221311009) and next prime (132013221311011).

It is not an unprimeable number, because it can be changed into a prime (132013221311011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111856 + ... + 16249275.

It is an arithmetic number, because the mean of its divisors is an integer number (2824773981498).

Almost surely, 2^{132013221311010} is an apocalyptic number.

132013221311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132013221311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180785534815872).

132013221311010 is an abundant number, since it is smaller than the sum of its proper divisors (229557848320734).

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

132013221311010 is a wasteful number, since it uses less digits than its factorization.

132013221311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16362388.

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

Adding to 132013221311010 its reverse (10113122310231), we get a palindrome (142126343621241).

The spelling of 132013221311010 in words is "one hundred thirty-two trillion, thirteen billion, two hundred twenty-one million, three hundred eleven thousand, ten".