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131223310312003 = 71322573623119131
BaseRepresentation
bin11101110101100011001110…
…110011000010001001000011
3122012121211022010011221101021
4131311203032303002021003
5114144430314414441003
61143031053451250311
736432366646613020
oct3565431663021103
9565554263157337
10131223310312003
11388a2547760788
1212873b59149997
13582b3c72ca700
1424593564b0547
15102864593d2bd
hex7758cecc2243

131223310312003 has 48 divisors (see below), whose sum is σ = 163071251606016. Its totient is φ = 103391634677760.

The previous prime is 131223310312001. The next prime is 131223310312057. The reversal of 131223310312003 is 300213013322131.

It is not a de Polignac number, because 131223310312003 - 21 = 131223310312001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131223310312001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1101444748 + ... + 1101563878.

It is an arithmetic number, because the mean of its divisors is an integer number (3397317741792).

Almost surely, 2131223310312003 is an apocalyptic number.

131223310312003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131223310312003 is a deficient number, since it is larger than the sum of its proper divisors (31847941294013).

131223310312003 is a wasteful number, since it uses less digits than its factorization.

131223310312003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123044 (or 123031 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131223310312003 its reverse (300213013322131), we get a palindrome (431436323634134).

The spelling of 131223310312003 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, three hundred ten million, three hundred twelve thousand, three".

Divisors: 1 7 13 91 169 257 1183 1799 3341 3623 23387 25361 43433 47099 119131 304031 329693 612287 833917 931111 1548703 4286009 6517777 10840921 12104443 20133139 30616667 84731101 140931973 157357759 214316669 398016671 431611613 1101504313 2786116697 3021281291 5174216723 5610950969 36219517061 39276656783 72942362597 110924184541 510596538179 776469291787 1442014399033 10094100793231 18746187187429 131223310312003