31132123120 has 160 divisors (see below), whose sum is σ = 88790352768. Its totient is φ = 9908158464.

The previous prime is 31132123091. The next prime is 31132123129. The reversal of 31132123120 is 2132123113.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132123129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672562 + ... + 717358.

Almost surely, 2^31132123120 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 31132123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44395176384).

31132123120 is an abundant number, since it is smaller than the sum of its proper divisors (57658229648).

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

31132123120 is a wasteful number, since it uses less digits than its factorization.

31132123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44907 (or 44901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31132123120 its reverse (2132123113), we get a palindrome (33264246233).

The spelling of 31132123120 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".