13201434102213 has 24 divisors (see below), whose sum is σ = 23074775575488. Its totient is φ = 7099930945152.

The previous prime is 13201434102149. The next prime is 13201434102257. The reversal of 13201434102213 is 31220143410231.

13201434102213 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 434 + 1 + 0 + 221 + 3 = 666.

It is not a de Polignac number, because 13201434102213 - 2⁶ = 13201434102149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201434102013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6163133431 + ... + 6163135572.

It is an arithmetic number, because the mean of its divisors is an integer number (961448982312).

Almost surely, 2^{13201434102213} is an apocalyptic number.

It is an amenable number.

13201434102213 is a deficient number, since it is larger than the sum of its proper divisors (9873341473275).

13201434102213 is a wasteful number, since it uses less digits than its factorization.

13201434102213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326269033 (or 12326269030 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13201434102213 its reverse (31220143410231), we get a palindrome (44421577512444).

The spelling of 13201434102213 in words is "thirteen trillion, two hundred one billion, four hundred thirty-four million, one hundred two thousand, two hundred thirteen".