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133130122120013 = 2337197794109779
BaseRepresentation
bin11110010001010011000101…
…101000110100101101001101
3122110101010010010000011000012
4132101103011220310231031
5114422200442230320023
61151051044522043005
740020222350554124
oct3621230550645515
9573333103004005
10133130122120013
1139468193272667
1212b21614649465
135939169376775
1424c376486cabb
15105d047724978
hex7914c5a34b4d

133130122120013 has 16 divisors (see below), whose sum is σ = 143397167633280. Its totient is φ = 123271249058496.

The previous prime is 133130122119991. The next prime is 133130122120019. The reversal of 133130122120013 is 310021221031331.

It is a cyclic number.

It is not a de Polignac number, because 133130122120013 - 218 = 133130121857869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130122120019) 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 15 ways as a sum of consecutive naturals, for example, 396887243 + ... + 397222536.

It is an arithmetic number, because the mean of its divisors is an integer number (8962322977080).

Almost surely, 2133130122120013 is an apocalyptic number.

It is an amenable number.

133130122120013 is a deficient number, since it is larger than the sum of its proper divisors (10267045513267).

133130122120013 is a wasteful number, since it uses less digits than its factorization.

133130122120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794110036.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 133130122120013 its reverse (310021221031331), we get a palindrome (443151343151344).

The spelling of 133130122120013 in words is "one hundred thirty-three trillion, one hundred thirty billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".

Divisors: 1 23 37 197 851 4531 7289 167647 794109779 18264524917 29382061823 156439626463 675787421929 3598111408649 5788266179131 133130122120013