1301133104406 has 128 divisors (see below), whose sum is σ = 3065016729600. Its totient is φ = 408473280000.

The previous prime is 1301133104377. The next prime is 1301133104407. The reversal of 1301133104406 is 6044013311031.

1301133104406 is a `hidden beast` number, since 1 + 301 + 1 + 3 + 310 + 4 + 40 + 6 = 666.

It is a super-2 number, since 2×1301133104406² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1301133104406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301133104407) 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, 28048131 + ... + 28094481.

It is an arithmetic number, because the mean of its divisors is an integer number (23945443200).

Almost surely, 2^{1301133104406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301133104406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532508364800).

1301133104406 is an abundant number, since it is smaller than the sum of its proper divisors (1763883625194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1301133104406 is a wasteful number, since it uses less digits than its factorization.

1301133104406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46843 (or 46837 counting only the distinct ones).

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

Adding to 1301133104406 its reverse (6044013311031), we get a palindrome (7345146415437).

The spelling of 1301133104406 in words is "one trillion, three hundred one billion, one hundred thirty-three million, one hundred four thousand, four hundred six".