Search a number
-
+
131101232032373 is a prime number
BaseRepresentation
bin11101110011110001100010…
…010111010110101001110101
3122012012011012021100210012012
4131303301202113112221311
5114140430310400013443
61142455024034134005
736420515513426231
oct3563614227265165
9565164167323165
10131101232032373
11388557a1753399
1212854369421305
13581ca4068b9a5
1424534951335c1
15102539d2b1118
hex773c625d6a75

131101232032373 has 2 divisors, whose sum is σ = 131101232032374. Its totient is φ = 131101232032372.

The previous prime is 131101232032361. The next prime is 131101232032387. The reversal of 131101232032373 is 373230232101131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92330709378769 + 38770522653604 = 9608887^2 + 6226598^2 .

It is an emirp because it is prime and its reverse (373230232101131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131101232032373 - 220 = 131101230983797 is a prime.

It is a super-2 number, since 2×1311012320323732 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131101232034373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550616016186 + 65550616016187.

It is an arithmetic number, because the mean of its divisors is an integer number (65550616016187).

Almost surely, 2131101232032373 is an apocalyptic number.

It is an amenable number.

131101232032373 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101232032373 is an equidigital number, since it uses as much as digits as its factorization.

131101232032373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

The spelling of 131101232032373 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred thirty-two million, thirty-two thousand, three hundred seventy-three".