31330212121120 has 192 divisors, whose sum is σ = 83251563889536. Its totient is φ = 11041753006080.

The previous prime is 31330212121093. The next prime is 31330212121139. The reversal of 31330212121120 is 2112121203313.

It is a super-3 number, since 3×31330212121120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31330212121091 and 31330212121100.

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, 15799819 + ... + 17671861.

It is an arithmetic number, because the mean of its divisors is an integer number (433601895258).

Almost surely, 2^{31330212121120} 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 31330212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41625781944768).

31330212121120 is an abundant number, since it is smaller than the sum of its proper divisors (51921351768416).

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

31330212121120 is a wasteful number, since it uses less digits than its factorization.

31330212121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872363 (or 1872355 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 31330212121120 its reverse (2112121203313), we get a palindrome (33442333324433).

The spelling of 31330212121120 in words is "thirty-one trillion, three hundred thirty billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".