312132101 has 2 divisors, whose sum is σ = 312132102. Its totient is φ = 312132100.

The previous prime is 312132083. The next prime is 312132143. The reversal of 312132101 is 101231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256032001 + 56100100 = 16001^2 + 7490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312132101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132151) 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, 156066050 + 156066051.

It is an arithmetic number, because the mean of its divisors is an integer number (156066051).

Almost surely, 2^312132101 is an apocalyptic number.

It is an amenable number.

312132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132101 is an equidigital number, since it uses as much as digits as its factorization.

312132101 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 14.

The square root of 312132101 is about 17667.2607101384. The cubic root of 312132101 is about 678.3379978362.

Adding to 312132101 its reverse (101231213), we get a palindrome (413363314).

The spelling of 312132101 in words is "three hundred twelve million, one hundred thirty-two thousand, one hundred one".