33112103130 has 128 divisors (see below), whose sum is σ = 95108428800. Its totient is φ = 8170569792.

The previous prime is 33112103051. The next prime is 33112103147. The reversal of 33112103130 is 3130121133.

It is a happy number.

33112103130 is a `hidden beast` number, since 331 + 1 + 21 + 0 + 313 + 0 = 666.

It is a super-3 number, since 3×33112103130³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145537 + ... + 295643.

It is an arithmetic number, because the mean of its divisors is an integer number (743034600).

Almost surely, 2^33112103130 is an apocalyptic number.

33112103130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33112103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47554214400).

33112103130 is an abundant number, since it is smaller than the sum of its proper divisors (61996325670).

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

33112103130 is a wasteful number, since it uses less digits than its factorization.

33112103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150185 (or 150179 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33112103130 its reverse (3130121133), we get a palindrome (36242224263).

The spelling of 33112103130 in words is "thirty-three billion, one hundred twelve million, one hundred three thousand, one hundred thirty".