33010113000 has 128 divisors (see below), whose sum is σ = 103447393920. Its totient is φ = 8763737600.

The previous prime is 33010112983. The next prime is 33010113007. The reversal of 33010113000 is 31101033.

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 (33010113007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656764 + ... + 705236.

It is an arithmetic number, because the mean of its divisors is an integer number (808182765).

Almost surely, 2^33010113000 is an apocalyptic number.

33010113000 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 33010113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51723696960).

33010113000 is an abundant number, since it is smaller than the sum of its proper divisors (70437280920).

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

33010113000 is a wasteful number, since it uses less digits than its factorization.

33010113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48724 (or 48710 counting only the distinct ones).

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

Adding to 33010113000 its reverse (31101033), we get a palindrome (33041214033).

The spelling of 33010113000 in words is "thirty-three billion, ten million, one hundred thirteen thousand".