413322131133 has 32 divisors (see below), whose sum is σ = 628961894400. Its totient is φ = 268065298368.

The previous prime is 413322131083. The next prime is 413322131161. The reversal of 413322131133 is 331131223314.

413322131133 is a `hidden beast` number, since 4 + 1 + 332 + 213 + 113 + 3 = 666.

It is not a de Polignac number, because 413322131133 - 2¹² = 413322127037 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 = 413322131097 and 413322131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322131933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8997060 + ... + 9042882.

It is an arithmetic number, because the mean of its divisors is an integer number (19655059200).

Almost surely, 2^413322131133 is an apocalyptic number.

It is an amenable number.

413322131133 is a deficient number, since it is larger than the sum of its proper divisors (215639763267).

413322131133 is a wasteful number, since it uses less digits than its factorization.

413322131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54898 (or 54892 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 413322131133 its reverse (331131223314), we get a palindrome (744453354447).

The spelling of 413322131133 in words is "four hundred thirteen billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred thirty-three".