31311444132 has 96 divisors (see below), whose sum is σ = 81967670400. Its totient is φ = 10335983616.

The previous prime is 31311444103. The next prime is 31311444149. The reversal of 31311444132 is 23144411313.

It is a super-3 number, since 3×31311444132³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 31311444096 and 31311444105.

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 31 ways as a sum of consecutive naturals, for example, 6497788 + ... + 6502604.

It is an arithmetic number, because the mean of its divisors is an integer number (853829900).

Almost surely, 2^31311444132 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 31311444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40983835200).

31311444132 is an abundant number, since it is smaller than the sum of its proper divisors (50656226268).

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

31311444132 is a wasteful number, since it uses less digits than its factorization.

31311444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5394 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31311444132 its reverse (23144411313), we get a palindrome (54455855445).

The spelling of 31311444132 in words is "thirty-one billion, three hundred eleven million, four hundred forty-four thousand, one hundred thirty-two".