Search a number
-
+
31231203013013 is a prime number
BaseRepresentation
bin1110001100111100101001…
…10000101111000110010101
311002120200012020101011110012
413012132110300233012111
513043143000432404023
6150231225552410005
76402244216335533
oct706362460570625
9132520166334405
1031231203013013
119a510959a5703
123604996846905
1314571223c9a63
1479d8539d5153
153925de021978
hex1c6794c2f195

31231203013013 has 2 divisors, whose sum is σ = 31231203013014. Its totient is φ = 31231203013012.

The previous prime is 31231203013007. The next prime is 31231203013117. The reversal of 31231203013013 is 31031030213213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26915105352529 + 4316097660484 = 5187977^2 + 2077522^2 .

It is a cyclic number.

It is not a de Polignac number, because 31231203013013 - 242 = 26833156501909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31231203013013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31231203018013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15615601506506 + 15615601506507.

It is an arithmetic number, because the mean of its divisors is an integer number (15615601506507).

Almost surely, 231231203013013 is an apocalyptic number.

It is an amenable number.

31231203013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31231203013013 is an equidigital number, since it uses as much as digits as its factorization.

31231203013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 31231203013013 its reverse (31031030213213), we get a palindrome (62262233226226).

The spelling of 31231203013013 in words is "thirty-one trillion, two hundred thirty-one billion, two hundred three million, thirteen thousand, thirteen".