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311332401313 is a prime number
BaseRepresentation
bin1001000011111001101…
…10110111000010100001
31002202121021211122212021
410201330312313002201
520100102043320223
6355005113501441
731331051514253
oct4417466670241
91082537748767
10311332401313
1111004302a11a
1250408711881
132348788a00b
14110d621bcd3
15817250c65d
hex487cdb70a1

311332401313 has 2 divisors, whose sum is σ = 311332401314. Its totient is φ = 311332401312.

The previous prime is 311332401287. The next prime is 311332401379. The reversal of 311332401313 is 313104233113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274526746209 + 36805655104 = 523953^2 + 191848^2 .

It is a cyclic number.

It is not a de Polignac number, because 311332401313 - 233 = 302742466721 is a prime.

It is not a weakly prime, because it can be changed into another prime (311332401013) 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, 155666200656 + 155666200657.

It is an arithmetic number, because the mean of its divisors is an integer number (155666200657).

Almost surely, 2311332401313 is an apocalyptic number.

It is an amenable number.

311332401313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311332401313 is an equidigital number, since it uses as much as digits as its factorization.

311332401313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 311332401313 its reverse (313104233113), we get a palindrome (624436634426).

The spelling of 311332401313 in words is "three hundred eleven billion, three hundred thirty-two million, four hundred one thousand, three hundred thirteen".