31151120144 has 80 divisors (see below), whose sum is σ = 66801117312. Its totient is φ = 13997389824.

The previous prime is 31151120101. The next prime is 31151120171. The reversal of 31151120144 is 44102115113.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3830867 + ... + 3838989.

Almost surely, 2^31151120144 is an apocalyptic number.

31151120144 is a gapful number since it is divisible by the number (34) 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 31151120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33400558656).

31151120144 is an abundant number, since it is smaller than the sum of its proper divisors (35649997168).

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

31151120144 is a wasteful number, since it uses less digits than its factorization.

31151120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 31151120144 its reverse (44102115113), we get a palindrome (75253235257).

The spelling of 31151120144 in words is "thirty-one billion, one hundred fifty-one million, one hundred twenty thousand, one hundred forty-four".