31321102120 has 256 divisors, whose sum is σ = 90968209920. Its totient is φ = 9422438400.

The previous prime is 31321102117. The next prime is 31321102129. The reversal of 31321102120 is 2120112313.

It is a super-3 number, since 3×31321102120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31321102094 and 31321102103.

It is not an unprimeable number, because it can be changed into a prime (31321102129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12247882 + ... + 12250438.

It is an arithmetic number, because the mean of its divisors is an integer number (355344570).

Almost surely, 2^31321102120 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 31321102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45484104960).

31321102120 is an abundant number, since it is smaller than the sum of its proper divisors (59647107800).

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

31321102120 is a wasteful number, since it uses less digits than its factorization.

31321102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31321102120 its reverse (2120112313), we get a palindrome (33441214433).

The spelling of 31321102120 in words is "thirty-one billion, three hundred twenty-one million, one hundred two thousand, one hundred twenty".