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131323233001023 = 327191071025329937
BaseRepresentation
bin11101110111000000010010…
…101001110101111000111111
3122012222101012220100110220100
4131313000102221311320333
5114203044440122013043
61143145021013252143
736442535064505050
oct3567002251657077
9565871186313810
10131323233001023
1138930963491a08
121288b3a5034053
13583795caab9bb
142460115168727
15102b042ea5cd3
hex777012a75e3f

131323233001023 has 48 divisors (see below), whose sum is σ = 230330117272320. Its totient is φ = 70427862643968.

The previous prime is 131323233000997. The next prime is 131323233001039. The reversal of 131323233001023 is 320100332323131.

131323233001023 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 323 + 300 + 10 + 23 = 666.

It is not a de Polignac number, because 131323233001023 - 29 = 131323233000511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323233000023) 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, 512536890 + ... + 512793047.

It is an arithmetic number, because the mean of its divisors is an integer number (4798544109840).

Almost surely, 2131323233001023 is an apocalyptic number.

131323233001023 is a deficient number, since it is larger than the sum of its proper divisors (99006884271297).

131323233001023 is a wasteful number, since it uses less digits than its factorization.

131323233001023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025330076 (or 1025330073 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 131323233001023 its reverse (320100332323131), we get a palindrome (451423565324154).

The spelling of 131323233001023 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, two hundred thirty-three million, one thousand, twenty-three".

Divisors: 1 3 7 9 19 21 57 63 107 133 171 321 399 749 963 1197 2033 2247 6099 6741 14231 18297 42693 128079 1025329937 3075989811 7177309559 9227969433 19481268803 21531928677 58443806409 64595786031 109710303259 136368881621 175331419227 329130909777 409106644863 767972122813 987392729331 1227319934589 2084495761921 2303916368439 6253487285763 6911749105317 14591470333447 18760461857289 43774411000341 131323233001023