163131312132 has 36 divisors (see below), whose sum is σ = 412399116220. Its totient is φ = 54371907072.

The previous prime is 163131312109. The next prime is 163131312137. The reversal of 163131312132 is 231213131361.

163131312132 is a `hidden beast` number, since 1 + 6 + 313 + 1 + 312 + 1 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75974101956 + 87157210176 = 275634^2 + 295224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×163131312132² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 163131312096 and 163131312105.

It is not an unprimeable number, because it can be changed into a prime (163131312137) 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, 175068 + ... + 597420.

Almost surely, 2^163131312132 is an apocalyptic number.

163131312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163131312132 is an abundant number, since it is smaller than the sum of its proper divisors (249267804088).

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

163131312132 is a wasteful number, since it uses less digits than its factorization.

163131312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433092 (or 433087 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 163131312132 its reverse (231213131361), we get a palindrome (394344443493).

The spelling of 163131312132 in words is "one hundred sixty-three billion, one hundred thirty-one million, three hundred twelve thousand, one hundred thirty-two".