31031131122 has 96 divisors (see below), whose sum is σ = 71108309376. Its totient is φ = 9760608000.

The previous prime is 31031131093. The next prime is 31031131123. The reversal of 31031131122 is 22113113013.

31031131122 is a `hidden beast` number, since 310 + 311 + 31 + 12 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31031131095 and 31031131104.

It is not an unprimeable number, because it can be changed into a prime (31031131123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13086597 + ... + 13088967.

It is an arithmetic number, because the mean of its divisors is an integer number (740711556).

Almost surely, 2^31031131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35554154688).

31031131122 is an abundant number, since it is smaller than the sum of its proper divisors (40077178254).

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

31031131122 is a wasteful number, since it uses less digits than its factorization.

31031131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31031131122 its reverse (22113113013), we get a palindrome (53144244135).

It can be divided in two parts, 3103 and 1131122, that added together give a square (1134225 = 1065²).

The spelling of 31031131122 in words is "thirty-one billion, thirty-one million, one hundred thirty-one thousand, one hundred twenty-two".