413140124133 has 32 divisors (see below), whose sum is σ = 690725404800. Its totient is φ = 241753881600.

The previous prime is 413140124123. The next prime is 413140124143. The reversal of 413140124133 is 331421041314.

413140124133 is a `hidden beast` number, since 4 + 13 + 1 + 401 + 241 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (413140124123) and next prime (413140124143).

It is a de Polignac number, because none of the positive numbers 2^k-413140124133 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 = 413140124097 and 413140124106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413140124123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23974908 + ... + 23992133.

It is an arithmetic number, because the mean of its divisors is an integer number (21585168900).

Almost surely, 2^413140124133 is an apocalyptic number.

It is an amenable number.

413140124133 is a deficient number, since it is larger than the sum of its proper divisors (277585280667).

413140124133 is a wasteful number, since it uses less digits than its factorization.

413140124133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47967090 (or 47967084 counting only the distinct ones).

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

Adding to 413140124133 its reverse (331421041314), we get a palindrome (744561165447).

The spelling of 413140124133 in words is "four hundred thirteen billion, one hundred forty million, one hundred twenty-four thousand, one hundred thirty-three".