13131532213353 has 32 divisors (see below), whose sum is σ = 20483159760000. Its totient is φ = 8291518883136.

The previous prime is 13131532213309. The next prime is 13131532213361. The reversal of 13131532213353 is 35331223513131.

13131532213353 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 53 + 221 + 3 + 353 = 666.

It is not a de Polignac number, because 13131532213353 - 2¹⁴ = 13131532196969 is a prime.

It is a super-2 number, since 2×13131532213353² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131532213153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162158 + ... + 5254871.

It is an arithmetic number, because the mean of its divisors is an integer number (640098742500).

Almost surely, 2^{13131532213353} is an apocalyptic number.

It is an amenable number.

13131532213353 is a deficient number, since it is larger than the sum of its proper divisors (7351627546647).

13131532213353 is a wasteful number, since it uses less digits than its factorization.

13131532213353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421046 (or 6421040 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

Adding to 13131532213353 its reverse (35331223513131), we get a palindrome (48462755726484).

The spelling of 13131532213353 in words is "thirteen trillion, one hundred thirty-one billion, five hundred thirty-two million, two hundred thirteen thousand, three hundred fifty-three".