1331001603513 has 12 divisors (see below), whose sum is σ = 1922567962068. Its totient is φ = 887329745280.

The previous prime is 1331001603497. The next prime is 1331001603517. The reversal of 1331001603513 is 3153061001331.

1331001603513 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 0 + 1 + 603 + 51 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199069453584 + 1131932149929 = 446172^2 + 1063923^2 .

It is not a de Polignac number, because 1331001603513 - 2⁴ = 1331001603497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1331001603517) 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 11 ways as a sum of consecutive naturals, for example, 2802933 + ... + 3243213.

It is an arithmetic number, because the mean of its divisors is an integer number (160213996839).

Almost surely, 2^{1331001603513} is an apocalyptic number.

It is an amenable number.

1331001603513 is a deficient number, since it is larger than the sum of its proper divisors (591566358555).

1331001603513 is a wasteful number, since it uses less digits than its factorization.

1331001603513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776184 (or 776181 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 1331001603513 its reverse (3153061001331), we get a palindrome (4484062604844).

The spelling of 1331001603513 in words is "one trillion, three hundred thirty-one billion, one million, six hundred three thousand, five hundred thirteen".