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13123014313 is a prime number
BaseRepresentation
bin11000011100011000…
…10100111010101001
31020212120021012101011
430032030110322221
5203333442424223
610010103423521
7643125531643
oct141614247251
936776235334
1013123014313
115624665982
122662a54ba1
131311a12936
148c6c2b893
1551c15080d
hex30e314ea9

13123014313 has 2 divisors, whose sum is σ = 13123014314. Its totient is φ = 13123014312.

The previous prime is 13123014283. The next prime is 13123014319. The reversal of 13123014313 is 31341032131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10693214464 + 2429799849 = 103408^2 + 49293^2 .

It is an emirp because it is prime and its reverse (31341032131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13123014313 - 29 = 13123013801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123014319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561507156 + 6561507157.

It is an arithmetic number, because the mean of its divisors is an integer number (6561507157).

Almost surely, 213123014313 is an apocalyptic number.

It is an amenable number.

13123014313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123014313 is an equidigital number, since it uses as much as digits as its factorization.

13123014313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13123014313 its reverse (31341032131), we get a palindrome (44464046444).

The spelling of 13123014313 in words is "thirteen billion, one hundred twenty-three million, fourteen thousand, three hundred thirteen".