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13131321311332 = 227468975761119
BaseRepresentation
bin1011111100010101111110…
…1111100000000001100100
31201111100020100201100022001
42333011133233200001210
53210120421223430312
643532240140015044
72523464245336360
oct277053757400144
951440210640261
1013131321311332
114202a64602664
121580b30b31484
1374338051a173
143357b8b9c2a0
1517b8984ea057
hexbf15fbe0064

13131321311332 has 12 divisors (see below), whose sum is σ = 26262642622720. Its totient is φ = 5627709133416.

The previous prime is 13131321311323. The next prime is 13131321311357. The reversal of 13131321311332 is 23311312313131.

It is a happy number.

13131321311332 is an admirable number.

It is a super-2 number, since 2×131313213113322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 468975761119 = 13131321311332 / (1 + 3 + 1 + 3 + 1 + 3 + 2 + 1 + 3 + 1 + 1 + 3 + 3 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 13131321311332.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 234487880532 + ... + 234487880587.

Almost surely, 213131321311332 is an apocalyptic number.

It is an amenable number.

13131321311332 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131321311332 is a wasteful number, since it uses less digits than its factorization.

13131321311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468975761130 (or 468975761128 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

Adding to 13131321311332 its reverse (23311312313131), we get a palindrome (36442633624463).

The spelling of 13131321311332 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 468975761119 937951522238 1875903044476 3282830327833 6565660655666 13131321311332