33120320013 has 48 divisors (see below), whose sum is σ = 54133766400. Its totient is φ = 19998316800.

The previous prime is 33120320011. The next prime is 33120320027. The reversal of 33120320013 is 31002302133.

33120320013 is a `hidden beast` number, since 331 + 2 + 0 + 320 + 0 + 13 = 666.

It is not a de Polignac number, because 33120320013 - 2¹ = 33120320011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120320011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866653 + ... + 904061.

It is an arithmetic number, because the mean of its divisors is an integer number (1127786800).

Almost surely, 2^33120320013 is an apocalyptic number.

33120320013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33120320013 is a deficient number, since it is larger than the sum of its proper divisors (21013446387).

33120320013 is a wasteful number, since it uses less digits than its factorization.

33120320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37711 (or 37694 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33120320013 its reverse (31002302133), we get a palindrome (64122622146).

The spelling of 33120320013 in words is "thirty-three billion, one hundred twenty million, three hundred twenty thousand, thirteen".