33131390112 has 216 divisors, whose sum is σ = 100242654876. Its totient is φ = 10371981312.

The previous prime is 33131390099. The next prime is 33131390119. The reversal of 33131390112 is 21109313133.

33131390112 is a `hidden beast` number, since 33 + 131 + 390 + 112 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16930173456 + 16201216656 = 130116^2 + 127284^2 .

It is not an unprimeable number, because it can be changed into a prime (33131390119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8959848 + ... + 8963544.

Almost surely, 2^33131390112 is an apocalyptic number.

33131390112 is a gapful number since it is divisible by the number (32) 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 33131390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50121327438).

33131390112 is an abundant number, since it is smaller than the sum of its proper divisors (67111264764).

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

33131390112 is a wasteful number, since it uses less digits than its factorization.

33131390112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 33131390112 in words is "thirty-three billion, one hundred thirty-one million, three hundred ninety thousand, one hundred twelve".