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13011120133301 = 521110922518809
BaseRepresentation
bin1011110101010110001100…
…1100011001010010110101
31201001211222022222211102102
42331111203030121102311
53201133233223231201
643401120455351445
72512010454232163
oct275254314312265
951054868884372
1013011120133301
114166a92130504
121561785982585
13734c35755554
1432da54c48233
151786b0a5626b
hexbd5633194b5

13011120133301 has 8 divisors (see below), whose sum is σ = 13047848890200. Its totient is φ = 12974436417280.

The previous prime is 13011120133279. The next prime is 13011120133309. The reversal of 13011120133301 is 10333102111031.

It can be written as a sum of positive squares in 4 ways, for example, as 562923076 + 13010557210225 = 23726^2 + 3607015^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13011120133301 - 26 = 13011120133237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011120133309) 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 in 7 ways as a sum of consecutive naturals, for example, 10681616 + ... + 11837193.

It is an arithmetic number, because the mean of its divisors is an integer number (1630981111275).

Almost surely, 213011120133301 is an apocalyptic number.

It is an amenable number.

13011120133301 is a deficient number, since it is larger than the sum of its proper divisors (36728756899).

13011120133301 is a wasteful number, since it uses less digits than its factorization.

13011120133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520439.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13011120133301 its reverse (10333102111031), we get a palindrome (23344222244332).

The spelling of 13011120133301 in words is "thirteen trillion, eleven billion, one hundred twenty million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 521 1109 577789 22518809 11732299489 24973359181 13011120133301