132213311010 has 384 divisors, whose sum is σ = 404263042560. Its totient is φ = 29669068800.

The previous prime is 132213310997. The next prime is 132213311029. The reversal of 132213311010 is 10113312231.

132213311010 is a `hidden beast` number, since 1 + 322 + 1 + 331 + 1 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75420294 + ... + 75422046.

It is an arithmetic number, because the mean of its divisors is an integer number (1052768340).

Almost surely, 2^132213311010 is an apocalyptic number.

132213311010 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 132213311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202131521280).

132213311010 is an abundant number, since it is smaller than the sum of its proper divisors (272049731550).

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

132213311010 is a wasteful number, since it uses less digits than its factorization.

132213311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132213311010 its reverse (10113312231), we get a palindrome (142326623241).

The spelling of 132213311010 in words is "one hundred thirty-two billion, two hundred thirteen million, three hundred eleven thousand, ten".