13213115416413 has 12 divisors (see below), whose sum is σ = 20820666716928. Its totient is φ = 8007948737160.

The previous prime is 13213115416411. The next prime is 13213115416441. The reversal of 13213115416413 is 31461451131231.

It is a happy number.

13213115416413 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 1 + 1 + 5 + 4 + 1 + 641 + 3 = 666.

It is not a de Polignac number, because 13213115416413 - 2¹ = 13213115416411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213115416411) 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, 66732906045 + ... + 66732906242.

It is an arithmetic number, because the mean of its divisors is an integer number (1735055559744).

Almost surely, 2^{13213115416413} is an apocalyptic number.

It is an amenable number.

13213115416413 is a deficient number, since it is larger than the sum of its proper divisors (7607551300515).

13213115416413 is a wasteful number, since it uses less digits than its factorization.

13213115416413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133465812304 (or 133465812301 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 13213115416413 its reverse (31461451131231), we get a palindrome (44674566547644).

The spelling of 13213115416413 in words is "thirteen trillion, two hundred thirteen billion, one hundred fifteen million, four hundred sixteen thousand, four hundred thirteen".