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1313322132213 = 327132123351379
BaseRepresentation
bin10011000111001000000…
…110010110001011110101
311122112220200021220000100
4103013020012112023311
5133004140431212323
62443155403104313
7163612226635110
oct23071006261365
94575820256010
101313322132213
11466a82118313
12192644b12099
1396acc145a00
14477caa09577
15242687a8943
hex131c81962f5

1313322132213 has 36 divisors (see below), whose sum is σ = 2347623464160. Its totient is φ = 692741338848.

The previous prime is 1313322132151. The next prime is 1313322132229. The reversal of 1313322132213 is 3122312233131.

1313322132213 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 322 + 1 + 322 + 13 = 666.

It is not a de Polignac number, because 1313322132213 - 213 = 1313322124021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313322132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61665043 + ... + 61686336.

Almost surely, 21313322132213 is an apocalyptic number.

1313322132213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313322132213 is a deficient number, since it is larger than the sum of its proper divisors (1034301331947).

1313322132213 is a wasteful number, since it uses less digits than its factorization.

1313322132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123351418 (or 123351402 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1313322132213 its reverse (3122312233131), we get a palindrome (4435634365344).

The spelling of 1313322132213 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 10647 123351379 370054137 863459653 1110162411 1603567927 2590378959 4810703781 7771136877 11224975489 14432111343 20846383051 33674926467 62539149153 101024779401 145924681357 187617447459 437774044071 1313322132213