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13103133130131 = 311834783911329
BaseRepresentation
bin1011111010101100111110…
…0110000111110110010011
31201101122110212200101001220
42332223033212013312103
53204140204040131011
643511255105300123
72521445565631152
oct276531746076623
951348425611056
1013103133130131
1141a200a065940
121577584934643
1374080a6227c5
143342a3225599
1517ac989b1506
hexbeacf987d93

13103133130131 has 16 divisors (see below), whose sum is σ = 19288730482560. Its totient is φ = 7845614577920.

The previous prime is 13103133130049. The next prime is 13103133130141.

13103133130131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13103133130131 - 214 = 13103133113747 is a prime.

It is a super-2 number, since 2×131031331301312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13103133130141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391952926 + ... + 2391958403.

It is an arithmetic number, because the mean of its divisors is an integer number (1205545655160).

Almost surely, 213103133130131 is an apocalyptic number.

13103133130131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13103133130131 is a deficient number, since it is larger than the sum of its proper divisors (6185597352429).

13103133130131 is a wasteful number, since it uses less digits than its factorization.

13103133130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783911426.

The product of its (nonzero) digits is 729, while the sum is 24.

It can be divided in two parts, 1310313 and 3130131, that added together give a palindrome (4440444).

The spelling of 13103133130131 in words is "thirteen trillion, one hundred three billion, one hundred thirty-three million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 83 249 913 2739 4783911329 14351733987 52623024619 157869073857 397064640307 1191193920921 4367711043377 13103133130131