33130110000 has 800 divisors, whose sum is σ = 128856752640. Its totient is φ = 7243776000.

The previous prime is 33130109963. The next prime is 33130110007. The reversal of 33130110000 is 1103133.

It is a super-2 number, since 2×33130110000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (33130110007) 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 159 ways as a sum of consecutive naturals, for example, 125969869 + ... + 125970131.

Almost surely, 2^33130110000 is an apocalyptic number.

33130110000 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 33130110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64428376320).

33130110000 is an abundant number, since it is smaller than the sum of its proper divisors (95726642640).

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

33130110000 is a wasteful number, since it uses less digits than its factorization.

33130110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 33130110000 its reverse (1103133), we get a palindrome (33131213133).

The spelling of 33130110000 in words is "thirty-three billion, one hundred thirty million, one hundred ten thousand".