210101312131 has 2 divisors, whose sum is σ = 210101312132. Its totient is φ = 210101312130.

The previous prime is 210101312129. The next prime is 210101312147. The reversal of 210101312131 is 131213101012.

It is a happy number.

It is an a-pointer prime, because the next prime (210101312147) can be obtained adding 210101312131 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 210101312131 - 2¹ = 210101312129 is a prime.

It is a super-2 number, since 2×210101312131² (a number of 23 digits) contains 22 as substring.

Together with 210101312129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (210101310131) 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 as a sum of consecutive naturals, namely, 105050656065 + 105050656066.

It is an arithmetic number, because the mean of its divisors is an integer number (105050656066).

Almost surely, 2^210101312131 is an apocalyptic number.

210101312131 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101312131 is an equidigital number, since it uses as much as digits as its factorization.

210101312131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 210101312131 its reverse (131213101012), we get a palindrome (341314413143).

The spelling of 210101312131 in words is "two hundred ten billion, one hundred one million, three hundred twelve thousand, one hundred thirty-one".