213131323110113 has 16 divisors (see below), whose sum is σ = 224389360176000. Its totient is φ = 201877349075712.

The previous prime is 213131323110103. The next prime is 213131323110137. The reversal of 213131323110113 is 311011323131312.

213131323110113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213131323110113 - 2³⁶ = 213062603633377 is a prime.

It is a super-2 number, since 2×213131323110113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213131323110103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4083810023 + ... + 4083862211.

It is an arithmetic number, because the mean of its divisors is an integer number (14024335011000).

Almost surely, 2^{213131323110113} is an apocalyptic number.

It is an amenable number.

213131323110113 is a deficient number, since it is larger than the sum of its proper divisors (11258037065887).

213131323110113 is a wasteful number, since it uses less digits than its factorization.

213131323110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86984.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 213131323110113 its reverse (311011323131312), we get a palindrome (524142646241425).

The spelling of 213131323110113 in words is "two hundred thirteen trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred ten thousand, one hundred thirteen".