132133222331231 has 12 divisors (see below), whose sum is σ = 147977670798216. Its totient is φ = 117854675143920.

The previous prime is 132133222331189. The next prime is 132133222331233.

132133222331231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-132133222331231 is a prime.

It is a super-4 number, since 4×132133222331231⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133222331233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10301975681 + ... + 10301988506.

It is an arithmetic number, because the mean of its divisors is an integer number (12331472566518).

Almost surely, 2^{132133222331231} is an apocalyptic number.

132133222331231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132133222331231 is a deficient number, since it is larger than the sum of its proper divisors (15844448466985).

132133222331231 is a wasteful number, since it uses less digits than its factorization.

132133222331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20603964262 (or 20603964251 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 132133222331231 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-one".