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13121133301 is a prime number
BaseRepresentation
bin11000011100001010…
…01001101011110101
31020212102201122010001
430032011021223311
5203333002231201
610005555231301
7643103535643
oct141605115365
936772648101
1013121133301
1156235a0721
1226622a8531
131311504703
148c689c193
1551bdcd301
hex30e149af5

13121133301 has 2 divisors, whose sum is σ = 13121133302. Its totient is φ = 13121133300.

The previous prime is 13121133293. The next prime is 13121133323. The reversal of 13121133301 is 10333112131.

13121133301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11957641201 + 1163492100 = 109351^2 + 34110^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121133301 - 23 = 13121133293 is a prime.

It is a super-2 number, since 2×131211333012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121133401) 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, 6560566650 + 6560566651.

It is an arithmetic number, because the mean of its divisors is an integer number (6560566651).

Almost surely, 213121133301 is an apocalyptic number.

It is an amenable number.

13121133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121133301 is an equidigital number, since it uses as much as digits as its factorization.

13121133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13121133301 its reverse (10333112131), we get a palindrome (23454245432).

The spelling of 13121133301 in words is "thirteen billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred one".