31320213120 has 384 divisors, whose sum is σ = 124843006080. Its totient is φ = 7087104000.

The previous prime is 31320213097. The next prime is 31320213157. The reversal of 31320213120 is 2131202313.

31320213120 is a `hidden beast` number, since 31 + 320 + 2 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 31320213093 and 31320213102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4068475 + ... + 4076165.

It is an arithmetic number, because the mean of its divisors is an integer number (325111995).

Almost surely, 2^31320213120 is an apocalyptic number.

31320213120 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 31320213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62421503040).

31320213120 is an abundant number, since it is smaller than the sum of its proper divisors (93522792960).

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

31320213120 is a wasteful number, since it uses less digits than its factorization.

31320213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31320213120 its reverse (2131202313), we get a palindrome (33451415433).

The spelling of 31320213120 in words is "thirty-one billion, three hundred twenty million, two hundred thirteen thousand, one hundred twenty".