20130141413133 has 64 divisors (see below), whose sum is σ = 31492419379200. Its totient is φ = 12673134754560.

The previous prime is 20130141413117. The next prime is 20130141413153. The reversal of 20130141413133 is 33131414103102.

20130141413133 is a `hidden beast` number, since 2 + 0 + 1 + 301 + 4 + 1 + 41 + 313 + 3 = 666.

It is not a de Polignac number, because 20130141413133 - 2⁴ = 20130141413117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20130141413097 and 20130141413106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130141413153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945821310 + ... + 945842592.

It is an arithmetic number, because the mean of its divisors is an integer number (492069052800).

Almost surely, 2^{20130141413133} is an apocalyptic number.

It is an amenable number.

20130141413133 is a deficient number, since it is larger than the sum of its proper divisors (11362277966067).

20130141413133 is a wasteful number, since it uses less digits than its factorization.

20130141413133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27119 (or 27113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 20130141413133 its reverse (33131414103102), we get a palindrome (53261555516235).

The spelling of 20130141413133 in words is "twenty trillion, one hundred thirty billion, one hundred forty-one million, four hundred thirteen thousand, one hundred thirty-three".