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1313213113341 = 322114431561013
BaseRepresentation
bin10011000111000001100…
…110011110001111111101
311122112122002011011020100
4103013001212132033331
5133003430024111331
62443140510311313
7163606434200613
oct23070146361775
94575562134210
101313213113341
11466a26626878
121926144b8539
1396ab26950bc
14477ba34b6b3
152425de21ae6
hex131c199e3fd

1313213113341 has 24 divisors (see below), whose sum is σ = 1910156635296. Its totient is φ = 869358803040.

The previous prime is 1313213113321. The next prime is 1313213113351. The reversal of 1313213113341 is 1433113123131.

1313213113341 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 1 + 311 + 3 + 341 = 666.

It is not a de Polignac number, because 1313213113341 - 25 = 1313213113309 is a prime.

It is a super-2 number, since 2×13132131133412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313213113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60751 + ... + 1621763.

It is an arithmetic number, because the mean of its divisors is an integer number (79589859804).

Almost surely, 21313213113341 is an apocalyptic number.

It is an amenable number.

1313213113341 is a deficient number, since it is larger than the sum of its proper divisors (596943521955).

1313213113341 is a wasteful number, since it uses less digits than its factorization.

1313213113341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561673 (or 1561670 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 1313213113341 its reverse (1433113123131), we get a palindrome (2746326236472).

The spelling of 1313213113341 in words is "one trillion, three hundred thirteen billion, two hundred thirteen million, one hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 9 211 443 633 1329 1899 3987 93473 280419 841257 1561013 4683039 14049117 329373743 691528759 988121229 2074586277 2964363687 6223758831 145912568149 437737704447 1313213113341