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13131120944677 is a prime number
BaseRepresentation
bin1011111100010101001111…
…0011001010011000100101
31201111022201101200122220211
42333011103303022120211
53210120013430212202
643532204221255421
72523456263264131
oct277052363123045
951438641618824
1013131120944677
11420297149a18a
121580a95a04571
1374334ab65008
1433579a3223c1
1517b885b1c1d7
hexbf153cca625

13131120944677 has 2 divisors, whose sum is σ = 13131120944678. Its totient is φ = 13131120944676.

The previous prime is 13131120944671. The next prime is 13131120944723. The reversal of 13131120944677 is 77644902113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10913779567201 + 2217341377476 = 3303601^2 + 1489074^2 .

It is an emirp because it is prime and its reverse (77644902113131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131120944677 - 223 = 13131112556069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13131120944677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131120944671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565560472338 + 6565560472339.

It is an arithmetic number, because the mean of its divisors is an integer number (6565560472339).

Almost surely, 213131120944677 is an apocalyptic number.

It is an amenable number.

13131120944677 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131120944677 is an equidigital number, since it uses as much as digits as its factorization.

13131120944677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 13131120944677 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty million, nine hundred forty-four thousand, six hundred seventy-seven".