101431313 has 2 divisors, whose sum is σ = 101431314. Its totient is φ = 101431312.

The previous prime is 101431307. The next prime is 101431397. The reversal of 101431313 is 313134101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69089344 + 32341969 = 8312^2 + 5687^2 .

It is a cyclic number.

It is not a de Polignac number, because 101431313 - 2²² = 97237009 is a prime.

It is a super-2 number, since 2×101431313² = 20576622513807938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101431291 and 101431300.

It is not a weakly prime, because it can be changed into another prime (101434313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50715656 + 50715657.

It is an arithmetic number, because the mean of its divisors is an integer number (50715657).

Almost surely, 2^101431313 is an apocalyptic number.

It is an amenable number.

101431313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101431313 is an equidigital number, since it uses as much as digits as its factorization.

101431313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 101431313 is about 10071.3113843233. The cubic root of 101431313 is about 466.3629231476.

Adding to 101431313 its reverse (313134101), we get a palindrome (414565414).

The spelling of 101431313 in words is "one hundred one million, four hundred thirty-one thousand, three hundred thirteen".