312100101031 has 2 divisors, whose sum is σ = 312100101032. Its totient is φ = 312100101030.

The previous prime is 312100101029. The next prime is 312100101037. The reversal of 312100101031 is 130101001213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312100101031 - 2¹ = 312100101029 is a prime.

It is a super-2 number, since 2×312100101031² (a number of 24 digits) contains 22 as substring.

Together with 312100101029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312100101037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050050515 + 156050050516.

It is an arithmetic number, because the mean of its divisors is an integer number (156050050516).

Almost surely, 2^312100101031 is an apocalyptic number.

312100101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

312100101031 is an equidigital number, since it uses as much as digits as its factorization.

312100101031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 312100101031 its reverse (130101001213), we get a palindrome (442201102244).

The spelling of 312100101031 in words is "three hundred twelve billion, one hundred million, one hundred one thousand, thirty-one".