33130301100 has 288 divisors, whose sum is σ = 105179934720. Its totient is φ = 8002575360.

The previous prime is 33130301069. The next prime is 33130301107. The reversal of 33130301100 is 110303133.

It is a super-2 number, since 2×33130301100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33130301100.

It is not an unprimeable number, because it can be changed into a prime (33130301107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 90273117 + ... + 90273483.

Almost surely, 2^33130301100 is an apocalyptic number.

33130301100 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 33130301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52589967360).

33130301100 is an abundant number, since it is smaller than the sum of its proper divisors (72049633620).

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

33130301100 is a wasteful number, since it uses less digits than its factorization.

33130301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 33130301100 its reverse (110303133), we get a palindrome (33240604233).

The spelling of 33130301100 in words is "thirty-three billion, one hundred thirty million, three hundred one thousand, one hundred".