32131313120 has 96 divisors (see below), whose sum is σ = 79329051648. Its totient is φ = 12286407168.

The previous prime is 32131313107. The next prime is 32131313129. The reversal of 32131313120 is 2131313123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32131313092 and 32131313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131313129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273677 + ... + 373043.

It is an arithmetic number, because the mean of its divisors is an integer number (826344288).

Almost surely, 2^32131313120 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 32131313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39664525824).

32131313120 is an abundant number, since it is smaller than the sum of its proper divisors (47197738528).

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

32131313120 is a wasteful number, since it uses less digits than its factorization.

32131313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99472 (or 99464 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 32131313120 its reverse (2131313123), we get a palindrome (34262626243).

It can be divided in two parts, 321313 and 13120, that added together give a palindrome (334433).

The spelling of 32131313120 in words is "thirty-two billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".