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123131032302301 is a prime number
BaseRepresentation
bin11011111111110010101101…
…011100001111001011011101
3121010222012201100102221112221
4123333302231130033023131
5112114334323232133201
61113513340525225341
734635631523504302
oct3377625534171335
9533865640387487
10123131032302301
1136262639796011
1211987751702251
13539228b96b45a
14225980658b0a9
15e37dc26704a1
hex6ffcad70f2dd

123131032302301 has 2 divisors, whose sum is σ = 123131032302302. Its totient is φ = 123131032302300.

The previous prime is 123131032302293. The next prime is 123131032302349. The reversal of 123131032302301 is 103203230131321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93660780622500 + 29470251679801 = 9677850^2 + 5428651^2 .

It is a cyclic number.

It is not a de Polignac number, because 123131032302301 - 23 = 123131032302293 is a prime.

It is a super-2 number, since 2×1231310323023012 (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 (123131032302401) 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 as a sum of consecutive naturals, namely, 61565516151150 + 61565516151151.

It is an arithmetic number, because the mean of its divisors is an integer number (61565516151151).

Almost surely, 2123131032302301 is an apocalyptic number.

It is an amenable number.

123131032302301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131032302301 is an equidigital number, since it uses as much as digits as its factorization.

123131032302301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 123131032302301 its reverse (103203230131321), we get a palindrome (226334262433622).

The spelling of 123131032302301 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, thirty-two million, three hundred two thousand, three hundred one".