20213132141313 has 48 divisors (see below), whose sum is σ = 31563564289920. Its totient is φ = 12426572454912.

The previous prime is 20213132141287. The next prime is 20213132141333. The reversal of 20213132141313 is 31314123131202.

20213132141313 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 313 + 214 + 131 + 3 = 666.

It is not a de Polignac number, because 20213132141313 - 2²¹ = 20213130044161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20213132141333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1538406 + ... + 6541632.

It is an arithmetic number, because the mean of its divisors is an integer number (657574256040).

Almost surely, 2^{20213132141313} is an apocalyptic number.

20213132141313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20213132141313 is a deficient number, since it is larger than the sum of its proper divisors (11350432148607).

20213132141313 is a wasteful number, since it uses less digits than its factorization.

20213132141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003958 (or 5003955 counting only the distinct ones).

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

Adding to 20213132141313 its reverse (31314123131202), we get a palindrome (51527255272515).

The spelling of 20213132141313 in words is "twenty trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred forty-one thousand, three hundred thirteen".