3131122122 has 64 divisors (see below), whose sum is σ = 7114573440. Its totient is φ = 1020463488.

The previous prime is 3131122097. The next prime is 3131122217. The reversal of 3131122122 is 2212211313.

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.

It is a junction number, because it is equal to n+sod(n) for n = 3131122095 and 3131122104.

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, 492508 + ... + 498824.

It is an arithmetic number, because the mean of its divisors is an integer number (111165210).

Almost surely, 2^3131122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557286720).

3131122122 is an abundant number, since it is smaller than the sum of its proper divisors (3983451318).

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

3131122122 is a wasteful number, since it uses less digits than its factorization.

3131122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3131122122 is about 55956.4305687916. The cubic root of 3131122122 is about 1462.9629766307.

Adding to 3131122122 its reverse (2212211313), we get a palindrome (5343333435).

The spelling of 3131122122 in words is "three billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty-two".