231331424133132 has 144 divisors (see below), whose sum is σ = 600548731421184. Its totient is φ = 75054928320000.

The previous prime is 231331424133097. The next prime is 231331424133167.

231331424133132 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 314 + 2 + 4 + 1 + 331 + 3 + 2 = 666.

231331424133132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (231331424133097) and next prime (231331424133167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 412482133 + ... + 413042579.

It is an arithmetic number, because the mean of its divisors is an integer number (4170477301536).

Almost surely, 2^{231331424133132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231331424133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300274365710592).

231331424133132 is an abundant number, since it is smaller than the sum of its proper divisors (369217307288052).

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

231331424133132 is a wasteful number, since it uses less digits than its factorization.

231331424133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562480 (or 562475 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 231331424133132 in words is "two hundred thirty-one trillion, three hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-three thousand, one hundred thirty-two".