31121322144 has 96 divisors (see below), whose sum is σ = 89164260864. Its totient is φ = 9426036480.

The previous prime is 31121322101. The next prime is 31121322157. The reversal of 31121322144 is 44122312113.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 2552607 + ... + 2564769.

It is an arithmetic number, because the mean of its divisors is an integer number (928794384).

Almost surely, 2^31121322144 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 31121322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44582130432).

31121322144 is an abundant number, since it is smaller than the sum of its proper divisors (58042938720).

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

31121322144 is a wasteful number, since it uses less digits than its factorization.

31121322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14610 (or 14602 counting only the distinct ones).

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

Adding to 31121322144 its reverse (44122312113), we get a palindrome (75243634257).

The spelling of 31121322144 in words is "thirty-one billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred forty-four".