3131310122000 has 40 divisors (see below), whose sum is σ = 7571507879832. Its totient is φ = 1252524048000.

The previous prime is 3131310121993. The next prime is 3131310122029. The reversal of 3131310122000 is 2210131313.

It can be written as a sum of positive squares in 4 ways, for example, as 844391912464 + 2286918209536 = 918908^2 + 1512256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3131310122000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782825531 + ... + 782829530.

Almost surely, 2^{3131310122000} is an apocalyptic number.

It is an amenable number.

3131310122000 is an abundant number, since it is smaller than the sum of its proper divisors (4440197757832).

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

3131310122000 is a wasteful number, since it uses less digits than its factorization.

3131310122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565655084 (or 1565655068 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3131310122000 its reverse (2210131313), we get a palindrome (3133520253313).

The spelling of 3131310122000 in words is "three trillion, one hundred thirty-one billion, three hundred ten million, one hundred twenty-two thousand".