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1313201131011 = 3271111316769479
BaseRepresentation
bin10011000111000000111…
…000110000111000000011
311122112121020121101120100
4103013000320300320003
5133003413442143021
62443135401413443
7163606230303660
oct23070070607003
94575536541510
101313201131011
11466a1a892320
1219261049a283
1396ab005b173
14477b890ca67
152425cd56626
hex131c0e30e03

1313201131011 has 48 divisors (see below), whose sum is σ = 2385827458560. Its totient is φ = 676145352960.

The previous prime is 1313201131007. The next prime is 1313201131013. The reversal of 1313201131011 is 1101311023131.

1313201131011 is a `hidden beast` number, since 1 + 31 + 320 + 1 + 1 + 310 + 1 + 1 = 666.

It is not a de Polignac number, because 1313201131011 - 22 = 1313201131007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313201131013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8306431 + ... + 8463048.

It is an arithmetic number, because the mean of its divisors is an integer number (49704738720).

Almost surely, 21313201131011 is an apocalyptic number.

1313201131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313201131011 is a deficient number, since it is larger than the sum of its proper divisors (1072626327549).

1313201131011 is a wasteful number, since it uses less digits than its factorization.

1313201131011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16769616 (or 16769613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1313201131011 its reverse (1101311023131), we get a palindrome (2414512154142).

The spelling of 1313201131011 in words is "one trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 113 231 339 693 791 1017 1243 2373 3729 7119 8701 11187 26103 78309 16769479 50308437 117386353 150925311 184464269 352159059 553392807 1056477177 1291249883 1660178421 1894951127 3873749649 5684853381 11621248947 13264657889 17054560143 20844462397 39793973667 62533387191 119381921001 145911236779 187600161573 437733710337 1313201131011