31132120 has 48 divisors (see below), whose sum is σ = 71952480. Its totient is φ = 12122880.

The previous prime is 31132103. The next prime is 31132141. The reversal of 31132120 is 2123113.

It is a self number, because there is not a number n which added to its sum of digits gives 31132120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67009 + ... + 67471.

It is an arithmetic number, because the mean of its divisors is an integer number (1499010).

Almost surely, 2^31132120 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 31132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35976240).

31132120 is an abundant number, since it is smaller than the sum of its proper divisors (40820360).

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

31132120 is a wasteful number, since it uses less digits than its factorization.

31132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 31132120 is about 5579.6164742749. The cubic root of 31132120 is about 314.5837114547.

Adding to 31132120 its reverse (2123113), we get a palindrome (33255233).

The spelling of 31132120 in words is "thirty-one million, one hundred thirty-two thousand, one hundred twenty".