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13131301132131 = 3713231119354849
BaseRepresentation
bin1011111100010101111010…
…0010100001011101100011
31201111100011221202010122020
42333011132202201131203
53210120401042212011
643532234135312523
72523463611663030
oct277053642413543
951440157663566
1013131301132131
114202a5417a736
121580b2621b743
137433792a3300
143357b6228387
1517b896861006
hexbf15e8a1763

13131301132131 has 48 divisors (see below), whose sum is σ = 22366144051200. Its totient is φ = 6702968263680.

The previous prime is 13131301132097. The next prime is 13131301132133. The reversal of 13131301132131 is 13123110313131.

It is not a de Polignac number, because 13131301132131 - 213 = 13131301123939 is a prime.

It is a super-2 number, since 2×131313011321312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131301132133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59567406 + ... + 59787443.

It is an arithmetic number, because the mean of its divisors is an integer number (465961334400).

Almost surely, 213131301132131 is an apocalyptic number.

13131301132131 is a deficient number, since it is larger than the sum of its proper divisors (9234842919069).

13131301132131 is a wasteful number, since it uses less digits than its factorization.

13131301132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119354916 (or 119354903 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 13131301132131 its reverse (13123110313131), we get a palindrome (26254411445262).

The spelling of 13131301132131 in words is "thirteen trillion, one hundred thirty-one billion, three hundred one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 91 93 169 217 273 403 507 651 1183 1209 2821 3549 5239 8463 15717 36673 110019 119354849 358064547 835483943 1551613037 2506451829 3700000319 4654839111 10861291259 11100000957 20170969481 25900002233 32583873777 48100004147 60512908443 77700006699 141196786367 144300012441 336700029029 423590359101 625300053911 1010100087087 1875900161733 4377100377377 13131301132131