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13010004310441 is a prime number
BaseRepresentation
bin1011110101010010000010…
…1011110111100110101001
31201001202002120101011012211
42331110200223313212221
53201123442100413231
643400414035405121
72511641015005255
oct275244053674651
951052076334184
1013010004310441
11416656a299256
1215615141537a1
13734ab8524838
1432d98a98b265
15178647ae6eb1
hexbd520af79a9

13010004310441 has 2 divisors, whose sum is σ = 13010004310442. Its totient is φ = 13010004310440.

The previous prime is 13010004310363. The next prime is 13010004310463. The reversal of 13010004310441 is 14401340001031.

It is a happy number.

It is an a-pointer prime, because the next prime (13010004310463) can be obtained adding 13010004310441 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12829864334400 + 180139976041 = 3581880^2 + 424429^2 .

It is an emirp because it is prime and its reverse (14401340001031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13010004310441 - 27 = 13010004310313 is a prime.

It is a super-2 number, since 2×130100043104412 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13010004310141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505002155220 + 6505002155221.

It is an arithmetic number, because the mean of its divisors is an integer number (6505002155221).

Almost surely, 213010004310441 is an apocalyptic number.

It is an amenable number.

13010004310441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010004310441 is an equidigital number, since it uses as much as digits as its factorization.

13010004310441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13010004310441 its reverse (14401340001031), we get a palindrome (27411344311472).

The spelling of 13010004310441 in words is "thirteen trillion, ten billion, four million, three hundred ten thousand, four hundred forty-one".