33121031130 has 288 divisors, whose sum is σ = 97506968832. Its totient is φ = 7790618880.

The previous prime is 33121031123. The next prime is 33121031147. The reversal of 33121031130 is 3113012133.

It is a happy number.

33121031130 is a `hidden beast` number, since 3 + 312 + 10 + 311 + 30 = 666.

It is a super-2 number, since 2×33121031130² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83428092 + ... + 83428488.

It is an arithmetic number, because the mean of its divisors is an integer number (338565864).

Almost surely, 2^33121031130 is an apocalyptic number.

33121031130 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 33121031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48753484416).

33121031130 is an abundant number, since it is smaller than the sum of its proper divisors (64385937702).

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

33121031130 is a wasteful number, since it uses less digits than its factorization.

33121031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

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

Adding to 33121031130 its reverse (3113012133), we get a palindrome (36234043263).

The spelling of 33121031130 in words is "thirty-three billion, one hundred twenty-one million, thirty-one thousand, one hundred thirty".