31144121344 has 88 divisors (see below), whose sum is σ = 72214884800. Its totient is φ = 13148061696.

The previous prime is 31144121321. The next prime is 31144121383. The reversal of 31144121344 is 44312144113.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447832 + ... + 512680.

Almost surely, 2^31144121344 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 31144121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36107442400).

31144121344 is an abundant number, since it is smaller than the sum of its proper divisors (41070763456).

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

31144121344 is an equidigital number, since it uses as much as digits as its factorization.

31144121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64943 (or 64925 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 31144121344 its reverse (44312144113), we get a palindrome (75456265457).

The spelling of 31144121344 in words is "thirty-one billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred forty-four".