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313122131213 is a prime number
BaseRepresentation
bin1001000111001111000…
…10001000110100001101
31002221020000112100201212
410203213202020310031
520112233231144323
6355502445544205
731423313125553
oct4434742106415
91087200470655
10313122131213
11110881309741
1250827b75065
13236b15c25a8
1411225bbdbd3
1582296d7b78
hex48e7888d0d

313122131213 has 2 divisors, whose sum is σ = 313122131214. Its totient is φ = 313122131212.

The previous prime is 313122131209. The next prime is 313122131233. The reversal of 313122131213 is 312131221313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160317757609 + 152804373604 = 400397^2 + 390902^2 .

It is an emirp because it is prime and its reverse (312131221313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313122131213 - 22 = 313122131209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313122131233) 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, 156561065606 + 156561065607.

It is an arithmetic number, because the mean of its divisors is an integer number (156561065607).

Almost surely, 2313122131213 is an apocalyptic number.

It is an amenable number.

313122131213 is a deficient number, since it is larger than the sum of its proper divisors (1).

313122131213 is an equidigital number, since it uses as much as digits as its factorization.

313122131213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 313122131213 its reverse (312131221313), we get a palindrome (625253352526).

The spelling of 313122131213 in words is "three hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred thirteen".