2011413331413 has 48 divisors (see below), whose sum is σ = 2947342478080. Its totient is φ = 1321705320192.

The previous prime is 2011413331409. The next prime is 2011413331457. The reversal of 2011413331413 is 3141333141102.

2011413331413 is a `hidden beast` number, since 2 + 0 + 114 + 133 + 3 + 1 + 413 = 666.

It is not a de Polignac number, because 2011413331413 - 2² = 2011413331409 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011413335413) 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 47 ways as a sum of consecutive naturals, for example, 272952393 + ... + 272959761.

Almost surely, 2^{2011413331413} is an apocalyptic number.

It is an amenable number.

2011413331413 is a deficient number, since it is larger than the sum of its proper divisors (935929146667).

2011413331413 is a wasteful number, since it uses less digits than its factorization.

2011413331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8815 counting only the distinct ones).

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

Adding to 2011413331413 its reverse (3141333141102), we get a palindrome (5152746472515).

The spelling of 2011413331413 in words is "two trillion, eleven billion, four hundred thirteen million, three hundred thirty-one thousand, four hundred thirteen".