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13144989313 is a prime number
BaseRepresentation
bin11000011111000000…
…01001111010000001
31020221002121122102001
430033200021322001
5203410104124223
610012210424001
7643513365001
oct141740117201
936832548361
1013144989313
115636005035
12266a292001
131316437cb1
148c9b0c001
1551e0419ad
hex30f809e81

13144989313 has 2 divisors, whose sum is σ = 13144989314. Its totient is φ = 13144989312.

The previous prime is 13144989283. The next prime is 13144989349. The reversal of 13144989313 is 31398944131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13109563009 + 35426304 = 114497^2 + 5952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13144989313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13144989353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6572494656 + 6572494657.

It is an arithmetic number, because the mean of its divisors is an integer number (6572494657).

Almost surely, 213144989313 is an apocalyptic number.

It is an amenable number.

13144989313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13144989313 is an equidigital number, since it uses as much as digits as its factorization.

13144989313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 279936, while the sum is 46.

The spelling of 13144989313 in words is "thirteen billion, one hundred forty-four million, nine hundred eighty-nine thousand, three hundred thirteen".