31111322112 has 120 divisors (see below), whose sum is σ = 96696443844. Its totient is φ = 9572696064.

The previous prime is 31111322093. The next prime is 31111322129. The reversal of 31111322112 is 21122311113.

It can be written as a sum of positive squares in 2 ways, for example, as 29314918656 + 1796403456 = 171216^2 + 42384^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199773 + ... + 319580.

Almost surely, 2^31111322112 is an apocalyptic number.

31111322112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31111322112 is an abundant number, since it is smaller than the sum of its proper divisors (65585121732).

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

31111322112 is a wasteful number, since it uses less digits than its factorization.

31111322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519390 (or 519371 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31111322112 its reverse (21122311113), we get a palindrome (52233633225).

The spelling of 31111322112 in words is "thirty-one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twelve".