213131111031 has 32 divisors (see below), whose sum is σ = 316588032000. Its totient is φ = 141710718240.

The previous prime is 213131111029. The next prime is 213131111033. The reversal of 213131111031 is 130111131312.

213131111031 is a `hidden beast` number, since 213 + 1 + 311 + 110 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (213131111029) and next prime (213131111033).

It is not a de Polignac number, because 213131111031 - 2¹ = 213131111029 is a prime.

It is a super-2 number, since 2×213131111031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213131110995 and 213131111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131111033) 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 31 ways as a sum of consecutive naturals, for example, 16645770 + ... + 16658568.

It is an arithmetic number, because the mean of its divisors is an integer number (9893376000).

Almost surely, 2^213131111031 is an apocalyptic number.

213131111031 is a deficient number, since it is larger than the sum of its proper divisors (103456920969).

213131111031 is a wasteful number, since it uses less digits than its factorization.

213131111031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 213131111031 its reverse (130111131312), we get a palindrome (343242242343).

The spelling of 213131111031 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred eleven thousand, thirty-one".