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131313102313103 = 23375919491341883
BaseRepresentation
bin11101110110110110110110…
…110100010101011010001111
3122012221102001212200012122122
4131312312312310111122033
5114202413213143004403
61143140223441403155
736442026042205544
oct3566666664253217
9565842055605578
10131313102313103
1138927634a26157
12128894383394bb
135836a06cc48c9
14245d833906bcb
15102ab4d8d0838
hex776db6d1568f

131313102313103 has 32 divisors (see below), whose sum is σ = 143184390336000. Its totient is φ = 120076067143296.

The previous prime is 131313102313093. The next prime is 131313102313121. The reversal of 131313102313103 is 301313201313131.

It is a cyclic number.

It is not a de Polignac number, because 131313102313103 - 216 = 131313102247567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313102313163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97186400 + ... + 98528282.

It is an arithmetic number, because the mean of its divisors is an integer number (4474512198000).

Almost surely, 2131313102313103 is an apocalyptic number.

131313102313103 is a deficient number, since it is larger than the sum of its proper divisors (11871288022897).

131313102313103 is a wasteful number, since it uses less digits than its factorization.

131313102313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343951.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 131313102313103 its reverse (301313201313131), we get a palindrome (432626303626234).

The spelling of 131313102313103 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred two million, three hundred thirteen thousand, one hundred three".

Divisors: 1 23 37 59 851 1357 1949 2183 44827 50209 72113 114991 1341883 1658599 2644793 4254667 30863309 49649671 79171097 97857341 1141942433 1820935231 2615329967 2929330589 60152589241 67374603547 96767208779 154304468053 2225645801917 3549002765219 5709265317961 131313102313103