211301312031 has 48 divisors (see below), whose sum is σ = 334502213760. Its totient is φ = 127936005120.

The previous prime is 211301312029. The next prime is 211301312051. The reversal of 211301312031 is 130213103112.

211301312031 is a `hidden beast` number, since 21 + 1 + 301 + 312 + 0 + 31 = 666.

It is not a de Polignac number, because 211301312031 - 2¹ = 211301312029 is a prime.

It is a super-2 number, since 2×211301312031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211301311995 and 211301312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8288901 + ... + 8314353.

It is an arithmetic number, because the mean of its divisors is an integer number (6968796120).

Almost surely, 2^211301312031 is an apocalyptic number.

211301312031 is a deficient number, since it is larger than the sum of its proper divisors (123200901729).

211301312031 is a wasteful number, since it uses less digits than its factorization.

211301312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27376 (or 27373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211301312031 its reverse (130213103112), we get a palindrome (341514415143).

The spelling of 211301312031 in words is "two hundred eleven billion, three hundred one million, three hundred twelve thousand, thirty-one".