3131450344000 has 448 divisors, whose sum is σ = 8955911577600. Its totient is φ = 1072647936000.

The previous prime is 3131450343949. The next prime is 3131450344039. The reversal of 3131450344000 is 4430541313.

It is a self number, because there is not a number n which added to its sum of digits gives 3131450344000.

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 63 ways as a sum of consecutive naturals, for example, 299282769 + ... + 299293231.

Almost surely, 2^{3131450344000} 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 3131450344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477955788800).

3131450344000 is an abundant number, since it is smaller than the sum of its proper divisors (5824461233600).

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

3131450344000 is a wasteful number, since it uses less digits than its factorization.

3131450344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 3131450344000 its reverse (4430541313), we get a palindrome (3135880885313).

The spelling of 3131450344000 in words is "three trillion, one hundred thirty-one billion, four hundred fifty million, three hundred forty-four thousand".