Search a number
-
+
131313231001 is a prime number
BaseRepresentation
bin111101001001011100…
…0001110010010011001
3110112221110000021220001
41322102320032102121
54122412141343001
6140154030133001
712326031022111
oct1722270162231
9415843007801
10131313231001
1150764994007
1221548651161
13c4c8c92bb4
1464d9a72041
1536382b9001
hex1e92e0e499

131313231001 has 2 divisors, whose sum is σ = 131313231002. Its totient is φ = 131313231000.

The previous prime is 131313230989. The next prime is 131313231013. The reversal of 131313231001 is 100132313131.

It is a balanced prime because it is at equal distance from previous prime (131313230989) and next prime (131313231013).

It can be written as a sum of positive squares in only one way, i.e., 129924923401 + 1388307600 = 360451^2 + 37260^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313231001 - 213 = 131313222809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131313231001.

It is not a weakly prime, because it can be changed into another prime (131313231031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656615500 + 65656615501.

It is an arithmetic number, because the mean of its divisors is an integer number (65656615501).

Almost surely, 2131313231001 is an apocalyptic number.

It is an amenable number.

131313231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313231001 is an equidigital number, since it uses as much as digits as its factorization.

131313231001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131313231001 its reverse (100132313131), we get a palindrome (231445544132).

The spelling of 131313231001 in words is "one hundred thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, one".