132132122031 has 48 divisors (see below), whose sum is σ = 221372043648. Its totient is φ = 69485169600.

The previous prime is 132132121997. The next prime is 132132122041. The reversal of 132132122031 is 130221231231.

It is not a de Polignac number, because 132132122031 - 2⁶ = 132132121967 is a prime.

It is a super-3 number, since 3×132132122031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132132121989 and 132132122007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132122041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528096 + ... + 736986.

It is an arithmetic number, because the mean of its divisors is an integer number (4611917576).

Almost surely, 2^132132122031 is an apocalyptic number.

132132122031 is a deficient number, since it is larger than the sum of its proper divisors (89239921617).

132132122031 is a wasteful number, since it uses less digits than its factorization.

132132122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209252 (or 209245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132132122031 its reverse (130221231231), we get a palindrome (262353353262).

The spelling of 132132122031 in words is "one hundred thirty-two billion, one hundred thirty-two million, one hundred twenty-two thousand, thirty-one".