31301221322112 has 256 divisors, whose sum is σ = 97253375915520. Its totient is φ = 8733247488000.

The previous prime is 31301221322099. The next prime is 31301221322123. The reversal of 31301221322112 is 21122312210313.

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 31 ways as a sum of consecutive naturals, for example, 553965862 + ... + 554022362.

It is an arithmetic number, because the mean of its divisors is an integer number (379895999670).

Almost surely, 2^{31301221322112} is an apocalyptic number.

31301221322112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301221322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48626687957760).

31301221322112 is an abundant number, since it is smaller than the sum of its proper divisors (65952154593408).

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

31301221322112 is a wasteful number, since it uses less digits than its factorization.

31301221322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61361 (or 61349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31301221322112 its reverse (21122312210313), we get a palindrome (52423533532425).

The spelling of 31301221322112 in words is "thirty-one trillion, three hundred one billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".