132011001000 has 384 divisors, whose sum is σ = 473932892160. Its totient is φ = 33027840000.

The previous prime is 132011000981. The next prime is 132011001049. The reversal of 132011001000 is 100110231.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56149825 + ... + 56152175.

It is an arithmetic number, because the mean of its divisors is an integer number (1234200240).

Almost surely, 2^132011001000 is an apocalyptic number.

132011001000 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 132011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236966446080).

132011001000 is an abundant number, since it is smaller than the sum of its proper divisors (341921891160).

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

132011001000 is a wasteful number, since it uses less digits than its factorization.

132011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 132011001000 its reverse (100110231), we get a palindrome (132111111231).

The spelling of 132011001000 in words is "one hundred thirty-two billion, eleven million, one thousand".