31431012144 has 80 divisors (see below), whose sum is σ = 92893244928. Its totient is φ = 8970909696.

The previous prime is 31431012131. The next prime is 31431012149. The reversal of 31431012144 is 44121013413.

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 (31431012149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276544 + ... + 373280.

Almost surely, 2^31431012144 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 31431012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46446622464).

31431012144 is an abundant number, since it is smaller than the sum of its proper divisors (61462232784).

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

31431012144 is a wasteful number, since it uses less digits than its factorization.

31431012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97722 (or 97716 counting only the distinct ones).

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

Adding to 31431012144 its reverse (44121013413), we get a palindrome (75552025557).

The spelling of 31431012144 in words is "thirty-one billion, four hundred thirty-one million, twelve thousand, one hundred forty-four".