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131011130043131 = 1319227916285967
BaseRepresentation
bin11101110010011101100111…
…110111100010101011111011
3122011212112121220120111010112
4131302131213313202223323
5114132441243242340011
61142345403211534535
736411145635234032
oct3562354767425373
9564775556514115
10131011130043131
1138820565502278
121283aa0245a44b
1358143b16aa660
14244cd88887719
151022d77eda58b
hex772767de2afb

131011130043131 has 12 divisors (see below), whose sum is σ = 148905469353312. Its totient is φ = 114568437604464.

The previous prime is 131011130043127. The next prime is 131011130043133. The reversal of 131011130043131 is 131340031110131.

It is not a de Polignac number, because 131011130043131 - 22 = 131011130043127 is a prime.

It is a super-2 number, since 2×1310111300431312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131011130043097 and 131011130043106.

It is not an unprimeable number, because it can be changed into a prime (131011130043133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13958138291 + ... + 13958147676.

It is an arithmetic number, because the mean of its divisors is an integer number (12408789112776).

Almost surely, 2131011130043131 is an apocalyptic number.

131011130043131 is a deficient number, since it is larger than the sum of its proper divisors (17894339310181).

131011130043131 is a wasteful number, since it uses less digits than its factorization.

131011130043131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27916286018 (or 27916285999 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 131011130043131 its reverse (131340031110131), we get a palindrome (262351161153262).

The spelling of 131011130043131 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirty million, forty-three thousand, one hundred thirty-one".

Divisors: 1 13 19 247 361 4693 27916285967 362911717571 530409433373 6895322633849 10077779234087 131011130043131