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131313232133141 is a prime number
BaseRepresentation
bin11101110110110110111110…
…100011100011110000010101
3122012221102101220221202021012
4131312312332203203300111
5114202413444411230031
61143140244400102005
736442032206516612
oct3566667643436025
9565842356852235
10131313232133141
11389276a1234943
1212889473904905
135836a27b794b6
14245d846c5b509
15102ab59ec5b2b
hex776dbe8e3c15

131313232133141 has 2 divisors, whose sum is σ = 131313232133142. Its totient is φ = 131313232133140.

The previous prime is 131313232133113. The next prime is 131313232133147. The reversal of 131313232133141 is 141331232313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130532430156241 + 780801976900 = 11425079^2 + 883630^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313232133141 - 26 = 131313232133077 is a prime.

It is a super-4 number, since 4×1313132321331414 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 131313232133098 and 131313232133107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131313232133147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656616066570 + 65656616066571.

It is an arithmetic number, because the mean of its divisors is an integer number (65656616066571).

Almost surely, 2131313232133141 is an apocalyptic number.

It is an amenable number.

131313232133141 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313232133141 is an equidigital number, since it uses as much as digits as its factorization.

131313232133141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 32.

Adding to 131313232133141 its reverse (141331232313131), we get a palindrome (272644464446272).

The spelling of 131313232133141 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred forty-one".