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312132301133 is a prime number
BaseRepresentation
bin1001000101011001000…
…10001111000101001101
31002211200000222210010112
410202230202033011031
520103221332114013
6355220330245405
731356633532562
oct4425442170515
91084600883115
10312132301133
11110413601754
12505b0586865
1323584506413
141117055c869
1581bc864ba8
hex48ac88f14d

312132301133 has 2 divisors, whose sum is σ = 312132301134. Its totient is φ = 312132301132.

The previous prime is 312132301127. The next prime is 312132301147. The reversal of 312132301133 is 331103231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240435276964 + 71697024169 = 490342^2 + 267763^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132301133 - 218 = 312132038989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132301099 and 312132301108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132301333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066150566 + 156066150567.

It is an arithmetic number, because the mean of its divisors is an integer number (156066150567).

Almost surely, 2312132301133 is an apocalyptic number.

It is an amenable number.

312132301133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132301133 is an equidigital number, since it uses as much as digits as its factorization.

312132301133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 312132301133 its reverse (331103231213), we get a palindrome (643235532346).

The spelling of 312132301133 in words is "three hundred twelve billion, one hundred thirty-two million, three hundred one thousand, one hundred thirty-three".