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131031310213 is a prime number
BaseRepresentation
bin111101000001000010…
…0110001111110000101
3110112012210112020021101
41322002010301332011
54121323003411323
6140110035420101
712316035521446
oct1720204617605
9415183466241
10131031310213
115062a838821
122148a154631
13c48275516b
1464b04472cd
15361d67bdad
hex1e82131f85

131031310213 has 2 divisors, whose sum is σ = 131031310214. Its totient is φ = 131031310212.

The previous prime is 131031310169. The next prime is 131031310309. The reversal of 131031310213 is 312013130131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100728160129 + 30303150084 = 317377^2 + 174078^2 .

It is a cyclic number.

It is not a de Polignac number, because 131031310213 - 233 = 122441375621 is a prime.

It is a super-2 number, since 2×1310313102132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131031310013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65515655106 + 65515655107.

It is an arithmetic number, because the mean of its divisors is an integer number (65515655107).

Almost surely, 2131031310213 is an apocalyptic number.

It is an amenable number.

131031310213 is a deficient number, since it is larger than the sum of its proper divisors (1).

131031310213 is an equidigital number, since it uses as much as digits as its factorization.

131031310213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 131031310213 its reverse (312013130131), we get a palindrome (443044440344).

The spelling of 131031310213 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, two hundred thirteen".