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131332410301123 = 23294332297197969
BaseRepresentation
bin11101110111001000110101…
…101010011101101011000011
3122020000020220111001121221001
4131313020311222131223003
5114203222234014113443
61143153135410512431
736443311362331033
oct3567106552355303
9566006814047831
10131332410301123
1138934842871349
1212891126595717
1358387931c8ca5
142460745d338c3
15102b3cda05d4d
hex777235a9dac3

131332410301123 has 32 divisors (see below), whose sum is σ = 142158107548800. Its totient is φ = 120957092315136.

The previous prime is 131332410301067. The next prime is 131332410301133. The reversal of 131332410301123 is 321103014233131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131332410301123 is a prime.

It is a super-3 number, since 3×1313324103011233 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131332410301091 and 131332410301100.

It is not an unprimeable number, because it can be changed into a prime (131332410301133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663299883 + ... + 663497851.

It is an arithmetic number, because the mean of its divisors is an integer number (4442440860900).

Almost surely, 2131332410301123 is an apocalyptic number.

131332410301123 is a deficient number, since it is larger than the sum of its proper divisors (10825697247677).

131332410301123 is a wasteful number, since it uses less digits than its factorization.

131332410301123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200751.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131332410301123 its reverse (321103014233131), we get a palindrome (452435424534254).

The spelling of 131332410301123 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, four hundred ten million, three hundred one thousand, one hundred twenty-three".

Divisors: 1 23 29 433 667 2297 9959 12557 52831 66613 197969 288811 994601 1532099 4553287 5741101 22875823 28843429 85720577 132045323 454734793 663398867 1971573271 2485896733 10458900239 13187308997 57175624859 196900165369 303308106931 4528703803487 5710104795701 131332410301123