31130221321000 has 128 divisors (see below), whose sum is σ = 74888621402400. Its totient is φ = 12103379251200.

The previous prime is 31130221320931. The next prime is 31130221321049. The reversal of 31130221321000 is 12312203113.

It can be written as a sum of positive squares in 16 ways, for example, as 556244489124 + 30573976831876 = 745818^2 + 5529374^2 .

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 31 ways as a sum of consecutive naturals, for example, 36467056 + ... + 37310944.

Almost surely, 2^{31130221321000} 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 31130221321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37444310701200).

31130221321000 is an abundant number, since it is smaller than the sum of its proper divisors (43758400081400).

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

31130221321000 is a wasteful number, since it uses less digits than its factorization.

31130221321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844944 (or 844930 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31130221321000 its reverse (12312203113), we get a palindrome (31142533524113).

The spelling of 31130221321000 in words is "thirty-one trillion, one hundred thirty billion, two hundred twenty-one million, three hundred twenty-one thousand".