33100628130 has 320 divisors, whose sum is σ = 94842316800. Its totient is φ = 8270760960.

The previous prime is 33100628123. The next prime is 33100628149. The reversal of 33100628130 is 3182600133.

It is a happy number.

33100628130 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 0 + 628 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33100628094 and 33100628103.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 148433199 + ... + 148433421.

It is an arithmetic number, because the mean of its divisors is an integer number (296382240).

Almost surely, 2^33100628130 is an apocalyptic number.

33100628130 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 33100628130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47421158400).

33100628130 is an abundant number, since it is smaller than the sum of its proper divisors (61741688670).

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

33100628130 is a wasteful number, since it uses less digits than its factorization.

33100628130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 33100628130 in words is "thirty-three billion, one hundred million, six hundred twenty-eight thousand, one hundred thirty".