133320030013105 has 96 divisors (see below), whose sum is σ = 184713755335200. Its totient is φ = 91717089730560.

The previous prime is 133320030013087. The next prime is 133320030013129. The reversal of 133320030013105 is 501310030023331.

It can be written as a sum of positive squares in 16 ways, for example, as 65422149852816 + 67897880160289 = 8088396^2 + 8240017^2 .

It is not a de Polignac number, because 133320030013105 - 2³⁵ = 133285670274737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133320030013105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610361251 + ... + 610579639.

It is an arithmetic number, because the mean of its divisors is an integer number (1924101618075).

Almost surely, 2^{133320030013105} is an apocalyptic number.

It is an amenable number.

133320030013105 is a deficient number, since it is larger than the sum of its proper divisors (51393725322095).

133320030013105 is a wasteful number, since it uses less digits than its factorization.

133320030013105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218835 (or 218804 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

Adding to 133320030013105 its reverse (501310030023331), we get a palindrome (634630060036436).

The spelling of 133320030013105 in words is "one hundred thirty-three trillion, three hundred twenty billion, thirty million, thirteen thousand, one hundred five".