231131383131132 has 324 divisors, whose sum is σ = 682506696981928. Its totient is φ = 65889110707200.

The previous prime is 231131383131127. The next prime is 231131383131161.

231131383131132 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 313 + 83 + 131 + 132 = 666.

231131383131132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231131383131132² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2773279782 + ... + 2773363122.

Almost surely, 2^{231131383131132} is an apocalyptic number.

231131383131132 is a gapful number since it is divisible by the number (22) 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 231131383131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341253348490964).

231131383131132 is an abundant number, since it is smaller than the sum of its proper divisors (451375313850796).

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

231131383131132 is a wasteful number, since it uses less digits than its factorization.

231131383131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85610 (or 85577 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 231131383131132 in words is "two hundred thirty-one trillion, one hundred thirty-one billion, three hundred eighty-three million, one hundred thirty-one thousand, one hundred thirty-two".