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1313003311011 = 327217843120773
BaseRepresentation
bin10011000110110101000…
…110001000111110100011
311122112002110101002112200
4103012311012020332203
5133003012321423021
62443104013424243
7163601305666200
oct23066506107643
94575073332480
101313003311011
11466929159217
1219257619b083
1396a7b088202
144779a536ca7
152424a7cd126
hex131b5188fa3

1313003311011 has 72 divisors (see below), whose sum is σ = 2336369016384. Its totient is φ = 706035294720.

The previous prime is 1313003311007. The next prime is 1313003311043. The reversal of 1313003311011 is 1101133003131.

1313003311011 is a `hidden beast` number, since 1 + 31 + 300 + 331 + 1 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 1313003311011 - 22 = 1313003311007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313003311111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63196821 + ... + 63217593.

It is an arithmetic number, because the mean of its divisors is an integer number (32449569672).

Almost surely, 21313003311011 is an apocalyptic number.

1313003311011 is a deficient number, since it is larger than the sum of its proper divisors (1023365705373).

1313003311011 is a wasteful number, since it uses less digits than its factorization.

1313003311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29241 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1313003311011 its reverse (1101133003131), we get a palindrome (2414136314142).

The spelling of 1313003311011 in words is "one trillion, three hundred thirteen billion, three million, three hundred eleven thousand, eleven".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 8431 20773 25293 59017 62319 75879 143327 145411 177051 186957 353141 413119 429981 436233 531153 1003289 1017877 1059423 1239357 1289943 1308699 2471987 3009867 3053631 3178269 3718071 7023023 7415961 9029601 9160893 17303909 21069069 22247883 51911727 63207207 155735181 175137163 525411489 1225960141 1576234467 2977331771 3677880423 8581720987 8931995313 11033641269 20841322397 25745162961 26795985939 62523967191 77235488883 145889256779 187571901573 437667770337 1313003311011