33120121013 has 24 divisors (see below), whose sum is σ = 38704659840. Its totient is φ = 28258463520.

The previous prime is 33120120961. The next prime is 33120121037. The reversal of 33120121013 is 31012102133.

It is not a de Polignac number, because 33120121013 - 2⁶ = 33120120949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33120120982 and 33120121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120121043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10818503 + ... + 10821563.

It is an arithmetic number, because the mean of its divisors is an integer number (1612694160).

Almost surely, 2^33120121013 is an apocalyptic number.

It is an amenable number.

33120121013 is a deficient number, since it is larger than the sum of its proper divisors (5584538827).

33120121013 is a wasteful number, since it uses less digits than its factorization.

33120121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33120121013 its reverse (31012102133), we get a palindrome (64132223146).

The spelling of 33120121013 in words is "thirty-three billion, one hundred twenty million, one hundred twenty-one thousand, thirteen".