33013130100000 has 288 divisors, whose sum is σ = 108381610008000. Its totient is φ = 8798282880000.

The previous prime is 33013130099977. The next prime is 33013130100017. The reversal of 33013130100000 is 103131033.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519868251 + ... + 519931749.

It is an arithmetic number, because the mean of its divisors is an integer number (376325034750).

Almost surely, 2^{33013130100000} is an apocalyptic number.

33013130100000 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 33013130100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190805004000).

33013130100000 is an abundant number, since it is smaller than the sum of its proper divisors (75368479908000).

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

33013130100000 is an equidigital number, since it uses as much as digits as its factorization.

33013130100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65270 (or 65242 counting only the distinct ones).

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

Adding to 33013130100000 its reverse (103131033), we get a palindrome (33013233231033).

The spelling of 33013130100000 in words is "thirty-three trillion, thirteen billion, one hundred thirty million, one hundred thousand".