11301313434444 has 144 divisors (see below), whose sum is σ = 32328440202240. Its totient is φ = 3298819680000.

The previous prime is 11301313434443. The next prime is 11301313434487. The reversal of 11301313434444 is 44443431310311.

11301313434444 is a `hidden beast` number, since 1 + 1 + 301 + 3 + 1 + 3 + 4 + 344 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11301313434399 and 11301313434408.

It is not an unprimeable number, because it can be changed into a prime (11301313434443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3122832 + ... + 5688119.

It is an arithmetic number, because the mean of its divisors is an integer number (224503056960).

Almost surely, 2^{11301313434444} is an apocalyptic number.

It is an amenable number.

11301313434444 is an abundant number, since it is smaller than the sum of its proper divisors (21027126767796).

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

11301313434444 is a wasteful number, since it uses less digits than its factorization.

11301313434444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811092 (or 8811087 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 11301313434444 its reverse (44443431310311), we get a palindrome (55744744744755).

The spelling of 11301313434444 in words is "eleven trillion, three hundred one billion, three hundred thirteen million, four hundred thirty-four thousand, four hundred forty-four".