31020312102120 has 576 divisors, whose sum is σ = 111570917225040. Its totient is φ = 7468824084480.

The previous prime is 31020312102119. The next prime is 31020312102139. The reversal of 31020312102120 is 2120121302013.

31020312102120 is a `hidden beast` number, since 310 + 2 + 0 + 312 + 1 + 0 + 21 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27241572667716 + 3778739434404 = 5219346^2 + 1943898^2 .

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 = 31020312102093 and 31020312102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10949632224 + ... + 10949635056.

Almost surely, 2^{31020312102120} is an apocalyptic number.

31020312102120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020312102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55785458612520).

31020312102120 is an abundant number, since it is smaller than the sum of its proper divisors (80550605122920).

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

31020312102120 is a wasteful number, since it uses less digits than its factorization.

31020312102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4480 counting only the distinct ones).

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

Adding to 31020312102120 its reverse (2120121302013), we get a palindrome (33140433404133).

The spelling of 31020312102120 in words is "thirty-one trillion, twenty billion, three hundred twelve million, one hundred two thousand, one hundred twenty".