31441113343232 has 144 divisors (see below), whose sum is σ = 63904297183440. Its totient is φ = 15435812044800.

The previous prime is 31441113343217. The next prime is 31441113343259. The reversal of 31441113343232 is 23234331114413.

It can be written as a sum of positive squares in 8 ways, for example, as 2713057002496 + 28728056340736 = 1647136^2 + 5359856^2 .

It is a super-2 number, since 2×31441113343232² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31441113343192 and 31441113343201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7819225382 + ... + 7819229402.

Almost surely, 2^{31441113343232} is an apocalyptic number.

31441113343232 is a gapful number since it is divisible by the number (32) 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 31441113343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952148591720).

31441113343232 is an abundant number, since it is smaller than the sum of its proper divisors (32463183840208).

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

31441113343232 is a wasteful number, since it uses less digits than its factorization.

31441113343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5866 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

Adding to 31441113343232 its reverse (23234331114413), we get a palindrome (54675444457645).

The spelling of 31441113343232 in words is "thirty-one trillion, four hundred forty-one billion, one hundred thirteen million, three hundred forty-three thousand, two hundred thirty-two".