3131321214224 has 240 divisors, whose sum is σ = 7479481104000. Its totient is φ = 1269260036352.

The previous prime is 3131321214193. The next prime is 3131321214253. The reversal of 3131321214224 is 4224121231313.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 1876165262 + ... + 1876166930.

It is an arithmetic number, because the mean of its divisors is an integer number (31164504600).

Almost surely, 2^{3131321214224} 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 3131321214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739740552000).

3131321214224 is an abundant number, since it is smaller than the sum of its proper divisors (4348159889776).

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

3131321214224 is a wasteful number, since it uses less digits than its factorization.

3131321214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2644 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

Adding to 3131321214224 its reverse (4224121231313), we get a palindrome (7355442445537).

The spelling of 3131321214224 in words is "three trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred fourteen thousand, two hundred twenty-four".