1331434335213 has 48 divisors (see below), whose sum is σ = 2071881377280. Its totient is φ = 821191688352.

The previous prime is 1331434335191. The next prime is 1331434335233. The reversal of 1331434335213 is 3125334341331.

1331434335213 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 4 + 3 + 433 + 5 + 213 = 666.

It is not a de Polignac number, because 1331434335213 - 2⁵ = 1331434335181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331434335233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46625806 + ... + 46654352.

It is an arithmetic number, because the mean of its divisors is an integer number (43164195360).

Almost surely, 2^{1331434335213} is an apocalyptic number.

It is an amenable number.

1331434335213 is a deficient number, since it is larger than the sum of its proper divisors (740447042067).

1331434335213 is a wasteful number, since it uses less digits than its factorization.

1331434335213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34958 (or 34955 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

Adding to 1331434335213 its reverse (3125334341331), we get a palindrome (4456768676544).

The spelling of 1331434335213 in words is "one trillion, three hundred thirty-one billion, four hundred thirty-four million, three hundred thirty-five thousand, two hundred thirteen".