4131231012 has 120 divisors (see below), whose sum is σ = 11107198872. Its totient is φ = 1338163200.

The previous prime is 4131231001. The next prime is 4131231023. The reversal of 4131231012 is 2101321314.

4131231012 is a `hidden beast` number, since 41 + 312 + 310 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4131231001) and next prime (4131231023).

It can be written as a sum of positive squares in 4 ways, for example, as 52620516 + 4078610496 = 7254^2 + 63864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4688812 + ... + 4689692.

Almost surely, 2^4131231012 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 4131231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553599436).

4131231012 is an abundant number, since it is smaller than the sum of its proper divisors (6975967860).

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

4131231012 is a wasteful number, since it uses less digits than its factorization.

4131231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4131231012 is about 64274.6529512218. The cubic root of 4131231012 is about 1604.5742813604.

Adding to 4131231012 its reverse (2101321314), we get a palindrome (6232552326).

The spelling of 4131231012 in words is "four billion, one hundred thirty-one million, two hundred thirty-one thousand, twelve".