101031312007 has 2 divisors, whose sum is σ = 101031312008. Its totient is φ = 101031312006.

The previous prime is 101031311977. The next prime is 101031312013. The reversal of 101031312007 is 700213130101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101031312007 - 2³¹ = 98883828359 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031312097) 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 as a sum of consecutive naturals, namely, 50515656003 + 50515656004.

It is an arithmetic number, because the mean of its divisors is an integer number (50515656004).

Almost surely, 2^101031312007 is an apocalyptic number.

101031312007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031312007 is an equidigital number, since it uses as much as digits as its factorization.

101031312007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 101031312007 its reverse (700213130101), we get a palindrome (801244442108).

The spelling of 101031312007 in words is "one hundred one billion, thirty-one million, three hundred twelve thousand, seven".