1331134413003 has 48 divisors (see below), whose sum is σ = 2039639097600. Its totient is φ = 834759921600.

The previous prime is 1331134412983. The next prime is 1331134413019. The reversal of 1331134413003 is 3003144311331.

1331134413003 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 344 + 1 + 300 + 3 = 666.

It is not a de Polignac number, because 1331134413003 - 2⁶ = 1331134412939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331134413403) 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, 113776048 + ... + 113787746.

It is an arithmetic number, because the mean of its divisors is an integer number (42492481200).

Almost surely, 2^{1331134413003} is an apocalyptic number.

1331134413003 is a deficient number, since it is larger than the sum of its proper divisors (708504684597).

1331134413003 is a wasteful number, since it uses less digits than its factorization.

1331134413003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20800 (or 20797 counting only the distinct ones).

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

Adding to 1331134413003 its reverse (3003144311331), we get a palindrome (4334278724334).

The spelling of 1331134413003 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-four million, four hundred thirteen thousand, three".