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13321321202133 = 327541933901787
BaseRepresentation
bin1100000111011001110010…
…0111100100000111010101
31202011111122210000211212200
43001312130213210013111
53221224031211432013
644155421441035113
72543301520635150
oct301663447440725
952144583024780
1013321321202133
1142765a45947aa
1215b1917625a99
1375826cb11259
14340a80accc97
151817b8a8de73
hexc1d9c9e41d5

13321321202133 has 24 divisors (see below), whose sum is σ = 21991163882688. Its totient is φ = 7612041128832.

The previous prime is 13321321202131. The next prime is 13321321202171. The reversal of 13321321202133 is 33120212312331.

13321321202133 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 321 + 202 + 133 = 666.

13321321202133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13321321202133 - 21 = 13321321202131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13321321202097 and 13321321202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321321202131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463266 + ... + 5365052.

It is an arithmetic number, because the mean of its divisors is an integer number (916298495112).

Almost surely, 213321321202133 is an apocalyptic number.

It is an amenable number.

13321321202133 is a deficient number, since it is larger than the sum of its proper divisors (8669842680555).

13321321202133 is a wasteful number, since it uses less digits than its factorization.

13321321202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955993 (or 3955990 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13321321202133 its reverse (33120212312331), we get a palindrome (46441533514464).

The spelling of 13321321202133 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 54193 162579 379351 487737 1138053 3414159 3901787 11705361 27312509 35116083 81937527 245812581 211449542891 634348628673 1480146800237 1903045886019 4440440400711 13321321202133