20130133214241 has 12 divisors (see below), whose sum is σ = 30079509400980. Its totient is φ = 12957327126240.

The previous prime is 20130133214173. The next prime is 20130133214249. The reversal of 20130133214241 is 14241233103102.

20130133214241 is a `hidden beast` number, since 2 + 0 + 1 + 301 + 332 + 1 + 4 + 24 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3341569376016 + 16788563838225 = 1827996^2 + 4097385^2 .

It is not a de Polignac number, because 20130133214241 - 2¹¹ = 20130133212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130133214249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38563473330 + ... + 38563473851.

It is an arithmetic number, because the mean of its divisors is an integer number (2506625783415).

Almost surely, 2^{20130133214241} is an apocalyptic number.

It is an amenable number.

20130133214241 is a deficient number, since it is larger than the sum of its proper divisors (9949376186739).

20130133214241 is a wasteful number, since it uses less digits than its factorization.

20130133214241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77126947216 (or 77126947213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20130133214241 its reverse (14241233103102), we get a palindrome (34371366317343).

The spelling of 20130133214241 in words is "twenty trillion, one hundred thirty billion, one hundred thirty-three million, two hundred fourteen thousand, two hundred forty-one".