31311114221112 has 128 divisors (see below), whose sum is σ = 86038570656000. Its totient is φ = 9416784573440.

The previous prime is 31311114221089. The next prime is 31311114221173. The reversal of 31311114221112 is 21112241111313.

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

It is a nude number because it is divisible by every one of its digits.

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, 25384939 + ... + 26589797.

It is an arithmetic number, because the mean of its divisors is an integer number (672176333250).

Almost surely, 2^{31311114221112} 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 31311114221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43019285328000).

31311114221112 is an abundant number, since it is smaller than the sum of its proper divisors (54727456434888).

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

31311114221112 is a wasteful number, since it uses less digits than its factorization.

31311114221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205621 (or 1205617 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

Adding to 31311114221112 its reverse (21112241111313), we get a palindrome (52423355332425).

The spelling of 31311114221112 in words is "thirty-one trillion, three hundred eleven billion, one hundred fourteen million, two hundred twenty-one thousand, one hundred twelve".