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13013021312233 = 374173973833163
BaseRepresentation
bin1011110101011101010010…
…0000110100010011101001
31201002000212211101201121221
42331113110200310103221
53201201131423442413
643402033252302041
72512105541051665
oct275272440642351
951060784351557
1013013021312233
114167878311368
121562016611921
137351795ac8b7
1432db9553b8a5
151787728e868d
hexbd5d48344e9

13013021312233 has 64 divisors (see below), whose sum is σ = 14062365499392. Its totient is φ = 12022407659520.

The previous prime is 13013021312231. The next prime is 13013021312261. The reversal of 13013021312233 is 33221312031031.

13013021312233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13013021312233 - 21 = 13013021312231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013021312198 and 13013021312207.

It is not an unprimeable number, because it can be changed into a prime (13013021312231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4114137310 + ... + 4114140472.

It is an arithmetic number, because the mean of its divisors is an integer number (219724460928).

Almost surely, 213013021312233 is an apocalyptic number.

It is an amenable number.

13013021312233 is a deficient number, since it is larger than the sum of its proper divisors (1049344187159).

13013021312233 is a wasteful number, since it uses less digits than its factorization.

13013021312233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13013021312233 its reverse (33221312031031), we get a palindrome (46234333343264).

The spelling of 13013021312233 in words is "thirteen trillion, thirteen billion, twenty-one million, three hundred twelve thousand, two hundred thirty-three".

Divisors: 1 37 41 73 97 383 1517 2701 2993 3163 3589 3977 7081 14171 15703 27959 37151 110741 117031 129683 147149 230899 261997 290321 306811 581011 1034483 1146319 1211429 1374587 1523191 2712023 4798271 8543263 9466859 10741877 11352007 12579251 22397203 42413803 44822873 49668589 56358067 88434317 100344851 111192943 117508613 350273783 465432287 828696511 918285323 1837737793 3272069729 3625806997 4114138891 4347818681 4817853133 8578128749 33976556951 134154858889 178260565921 317390763713 351703278709 13013021312233