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1313413342241 = 7112131031158077
BaseRepresentation
bin10011000111001101100…
…010010010010000100001
311122120011000220211122112
4103013031202102100201
5133004332303422431
62443212422045105
7163614415130420
oct23071542222041
94576130824575
101313413342241
11467019655800
1219266b579795
1396b14ccc640
14477d8b8d2b7
15242717c3c2b
hex131cd892421

1313413342241 has 48 divisors (see below), whose sum is σ = 1794075908352. Its totient is φ = 935540115840.

The previous prime is 1313413342237. The next prime is 1313413342259. The reversal of 1313413342241 is 1422433143131.

It is not a de Polignac number, because 1313413342241 - 22 = 1313413342237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313413342198 and 1313413342207.

It is not an unprimeable number, because it can be changed into a prime (1313413342141) 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, 555095 + ... + 1713171.

It is an arithmetic number, because the mean of its divisors is an integer number (37376581424).

Almost surely, 21313413342241 is an apocalyptic number.

1313413342241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313413342241 is a deficient number, since it is larger than the sum of its proper divisors (480662566111).

1313413342241 is a wasteful number, since it uses less digits than its factorization.

1313413342241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158222 (or 1158211 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1313413342241 its reverse (1422433143131), we get a palindrome (2735846485372).

The spelling of 1313413342241 in words is "one trillion, three hundred thirteen billion, four hundred thirteen million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 7 11 13 77 91 103 121 143 721 847 1001 1133 1339 1573 7931 9373 11011 12463 14729 87241 103103 162019 1134133 1158077 8106539 12738847 15055001 89171929 105385007 119281931 140127317 165605011 834973517 980891219 1159235077 1312101241 1550665103 1821655121 9184708687 10854655721 12751585847 14433113651 17057316133 101031795557 119401212931 187630477463 1313413342241