31132033020 has 384 divisors, whose sum is σ = 115744204800. Its totient is φ = 6857625600.

The previous prime is 31132033001. The next prime is 31132033033. The reversal of 31132033020 is 2033023113.

31132033020 is a `hidden beast` number, since 3 + 11 + 320 + 330 + 2 + 0 = 666.

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 = 31132032984 and 31132033002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2923105 + ... + 2933735.

It is an arithmetic number, because the mean of its divisors is an integer number (301417200).

Almost surely, 2^31132033020 is an apocalyptic number.

31132033020 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 31132033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57872102400).

31132033020 is an abundant number, since it is smaller than the sum of its proper divisors (84612171780).

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

31132033020 is a wasteful number, since it uses less digits than its factorization.

31132033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31132033020 its reverse (2033023113), we get a palindrome (33165056133).

The spelling of 31132033020 in words is "thirty-one billion, one hundred thirty-two million, thirty-three thousand, twenty".