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1313411044221 = 325314331921481
BaseRepresentation
bin10011000111001101011…
…001100001001101111101
311122120010212121002100200
4103013031121201031331
5133004331211403341
62443212300514113
7163614356446563
oct23071531411575
94576125532320
101313411044221
11467018326211
1219266a84b939
1396b146a6673
14477d8751a33
15242714bcdb6
hex131cd66137d

1313411044221 has 24 divisors (see below), whose sum is σ = 1934294441976. Its totient is φ = 858486520320.

The previous prime is 1313411044189. The next prime is 1313411044223. The reversal of 1313411044221 is 1224401143131.

It is a happy number.

1313411044221 is a `hidden beast` number, since 1 + 3 + 134 + 1 + 104 + 422 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478325775321 + 835085268900 = 691611^2 + 913830^2 .

It is not a de Polignac number, because 1313411044221 - 25 = 1313411044189 is a prime.

It is a super-3 number, since 3×13134110442213 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313411044223) 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, 277200 + ... + 1644281.

It is an arithmetic number, because the mean of its divisors is an integer number (80595601749).

Almost surely, 21313411044221 is an apocalyptic number.

It is an amenable number.

1313411044221 is a deficient number, since it is larger than the sum of its proper divisors (620883397755).

1313411044221 is a wasteful number, since it uses less digits than its factorization.

1313411044221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922973 (or 1922970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1313411044221 its reverse (1224401143131), we get a palindrome (2537812187352).

The spelling of 1313411044221 in words is "one trillion, three hundred thirteen billion, four hundred eleven million, forty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 53 159 477 1433 4299 12897 75949 227847 683541 1921481 5764443 17293329 101838493 305515479 916546437 2753482273 8260446819 24781340457 145934560469 437803681407 1313411044221