31144431120 has 320 divisors, whose sum is σ = 111875696640. Its totient is φ = 7083417600.

The previous prime is 31144431079. The next prime is 31144431127. The reversal of 31144431120 is 2113444113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31144431127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17008605 + ... + 17010435.

It is an arithmetic number, because the mean of its divisors is an integer number (349611552).

Almost surely, 2^31144431120 is an apocalyptic number.

31144431120 is a gapful number since it is divisible by the number (30) 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 31144431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55937848320).

31144431120 is an abundant number, since it is smaller than the sum of its proper divisors (80731265520).

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

31144431120 is a wasteful number, since it uses less digits than its factorization.

31144431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31144431120 its reverse (2113444113), we get a palindrome (33257875233).

It can be divided in two parts, 31144 and 431120, that added together give a palindrome (462264).

The spelling of 31144431120 in words is "thirty-one billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred twenty".