312430433101 has 2 divisors, whose sum is σ = 312430433102. Its totient is φ = 312430433100.

The previous prime is 312430433099. The next prime is 312430433123. The reversal of 312430433101 is 101334034213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312314440201 + 115992900 = 558851^2 + 10770^2 .

It is a cyclic number.

It is not a de Polignac number, because 312430433101 - 2¹ = 312430433099 is a prime.

It is a super-2 number, since 2×312430433101² (a number of 24 digits) contains 22 as substring.

Together with 312430433099, 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 (312430434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156215216550 + 156215216551.

It is an arithmetic number, because the mean of its divisors is an integer number (156215216551).

Almost surely, 2^312430433101 is an apocalyptic number.

It is an amenable number.

312430433101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312430433101 is an equidigital number, since it uses as much as digits as its factorization.

312430433101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 312430433101 its reverse (101334034213), we get a palindrome (413764467314).

The spelling of 312430433101 in words is "three hundred twelve billion, four hundred thirty million, four hundred thirty-three thousand, one hundred one".