33013221310113 has 24 divisors (see below), whose sum is σ = 48383653141824. Its totient is φ = 20007748215840.

The previous prime is 33013221310063. The next prime is 33013221310217. The reversal of 33013221310113 is 31101312231033.

It is a de Polignac number, because none of the positive numbers 2^k-33013221310113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33013221320113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28858995 + ... + 29981127.

It is an arithmetic number, because the mean of its divisors is an integer number (2015985547576).

Almost surely, 2^{33013221310113} is an apocalyptic number.

33013221310113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33013221310113 is a deficient number, since it is larger than the sum of its proper divisors (15370431831711).

33013221310113 is a wasteful number, since it uses less digits than its factorization.

33013221310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203205 (or 1203194 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 33013221310113 its reverse (31101312231033), we get a palindrome (64114533541146).

The spelling of 33013221310113 in words is "thirty-three trillion, thirteen billion, two hundred twenty-one million, three hundred ten thousand, one hundred thirteen".