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13132302311331 = 327238821767071
BaseRepresentation
bin1011111100011001101000…
…1101101101111110100011
31201111102202201122022022100
42333012122031231332203
53210124423342430311
643532521342141443
72523530456604600
oct277063215557643
951442681568270
1013132302311331
114203418329465
121581165581883
137434a8834138
1433586d1a16a7
1517b9046c6a56
hexbf19a36dfa3

13132302311331 has 36 divisors (see below), whose sum is σ = 22066438465344. Its totient is φ = 7503969664800.

The previous prime is 13132302311287. The next prime is 13132302311357. The reversal of 13132302311331 is 13311320323131.

13132302311331 is a `hidden beast` number, since 1 + 3 + 1 + 323 + 0 + 2 + 3 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 13132302311331 - 219 = 13132301787043 is a prime.

It is a super-2 number, since 2×131323023113312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132302311295 and 13132302311304.

It is not an unprimeable number, because it can be changed into a prime (13132302311831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16736526 + ... + 17503596.

Almost surely, 213132302311331 is an apocalyptic number.

13132302311331 is a deficient number, since it is larger than the sum of its proper divisors (8934136154013).

13132302311331 is a wasteful number, since it uses less digits than its factorization.

13132302311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805912 (or 805902 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13132302311331 its reverse (13311320323131), we get a palindrome (26443622634462).

The spelling of 13132302311331 in words is "thirteen trillion, one hundred thirty-two billion, three hundred two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 38821 116463 271747 349389 767071 815241 1902229 2301213 2445723 5369497 5706687 6903639 16108491 17120061 37586479 48325473 112759437 338278311 29778463291 89335389873 208449243037 268006169619 625347729111 1459144701259 1876043187333 4377434103777 13132302311331