31301331120312 has 256 divisors, whose sum is σ = 88873569792000. Its totient is φ = 9099985305600.

The previous prime is 31301331120287. The next prime is 31301331120343. The reversal of 31301331120312 is 21302113310313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923625864 + ... + 923659752.

It is an arithmetic number, because the mean of its divisors is an integer number (347162382000).

Almost surely, 2^{31301331120312} 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 31301331120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44436784896000).

31301331120312 is an abundant number, since it is smaller than the sum of its proper divisors (57572238671688).

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

31301331120312 is a wasteful number, since it uses less digits than its factorization.

31301331120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34702 (or 34698 counting only the distinct ones).

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

Adding to 31301331120312 its reverse (21302113310313), we get a palindrome (52603444430625).

The spelling of 31301331120312 in words is "thirty-one trillion, three hundred one billion, three hundred thirty-one million, one hundred twenty thousand, three hundred twelve".