31123031424 has 128 divisors (see below), whose sum is σ = 84391372800. Its totient is φ = 10159159296.

The previous prime is 31123031399. The next prime is 31123031501. The reversal of 31123031424 is 42413032113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 31123031394 and 31123031403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13899297 + ... + 13901535.

It is an arithmetic number, because the mean of its divisors is an integer number (659307600).

Almost surely, 2^31123031424 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 31123031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42195686400).

31123031424 is an abundant number, since it is smaller than the sum of its proper divisors (53268341376).

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

31123031424 is a wasteful number, since it uses less digits than its factorization.

31123031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31123031424 its reverse (42413032113), we get a palindrome (73536063537).

The spelling of 31123031424 in words is "thirty-one billion, one hundred twenty-three million, thirty-one thousand, four hundred twenty-four".