3131020322000 has 320 divisors, whose sum is σ = 8428673298240. Its totient is φ = 1119412224000.

The previous prime is 3131020321993. The next prime is 3131020322069. The reversal of 3131020322000 is 2230201313.

It can be written as a sum of positive squares in 32 ways, for example, as 3064656379456 + 66363942544 = 1750616^2 + 257612^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 3131020322000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60119972 + ... + 60172028.

It is an arithmetic number, because the mean of its divisors is an integer number (26339604057).

Almost surely, 2^{3131020322000} 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 3131020322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214336649120).

3131020322000 is an abundant number, since it is smaller than the sum of its proper divisors (5297652976240).

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

3131020322000 is a wasteful number, since it uses less digits than its factorization.

3131020322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52187 (or 52171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3131020322000 its reverse (2230201313), we get a palindrome (3133250523313).

The spelling of 3131020322000 in words is "three trillion, one hundred thirty-one billion, twenty million, three hundred twenty-two thousand".