33121113000 has 128 divisors (see below), whose sum is σ = 106671651840. Its totient is φ = 8547360000.

The previous prime is 33121112989. The next prime is 33121113007. The reversal of 33121113000 is 31112133.

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

It is not an unprimeable number, because it can be changed into a prime (33121113007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85071 + ... + 271070.

It is an arithmetic number, because the mean of its divisors is an integer number (833372280).

Almost surely, 2^33121113000 is an apocalyptic number.

33121113000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33121113000 is an abundant number, since it is smaller than the sum of its proper divisors (73550538840).

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

33121113000 is a wasteful number, since it uses less digits than its factorization.

33121113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356196 (or 356182 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 33121113000 its reverse (31112133), we get a palindrome (33152225133).

The spelling of 33121113000 in words is "thirty-three billion, one hundred twenty-one million, one hundred thirteen thousand".