3131321211330 has 128 divisors (see below), whose sum is σ = 8249557155840. Its totient is φ = 755962126080.

The previous prime is 3131321211329. The next prime is 3131321211371. The reversal of 3131321211330 is 331121231313.

It is a self number, because there is not a number n which added to its sum of digits gives 3131321211330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9759439 + ... + 10075181.

It is an arithmetic number, because the mean of its divisors is an integer number (64449665280).

Almost surely, 2^{3131321211330} is an apocalyptic number.

3131321211330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131321211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124778577920).

3131321211330 is an abundant number, since it is smaller than the sum of its proper divisors (5118235944510).

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

3131321211330 is a wasteful number, since it uses less digits than its factorization.

3131321211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316256.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3131321211330 its reverse (331121231313), we get a palindrome (3462442442643).

The spelling of 3131321211330 in words is "three trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred eleven thousand, three hundred thirty".