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130213011013 is a prime number
BaseRepresentation
bin111100101000101001…
…1001101111001000101
3110110002202202022210121
41321101103031321011
54113134012323023
6135452524421541
712256541221501
oct1712123157105
9413082668717
10130213011013
115024a939498
12212a00a78b1
13c382066057
1464338b7301
1535c18dcd5d
hex1e514cde45

130213011013 has 2 divisors, whose sum is σ = 130213011014. Its totient is φ = 130213011012.

The previous prime is 130213011001. The next prime is 130213011179. The reversal of 130213011013 is 310110312031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80022225924 + 50190785089 = 282882^2 + 224033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130213011013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130213011713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65106505506 + 65106505507.

It is an arithmetic number, because the mean of its divisors is an integer number (65106505507).

Almost surely, 2130213011013 is an apocalyptic number.

It is an amenable number.

130213011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130213011013 is an equidigital number, since it uses as much as digits as its factorization.

130213011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130213011013 its reverse (310110312031), we get a palindrome (440323323044).

The spelling of 130213011013 in words is "one hundred thirty billion, two hundred thirteen million, eleven thousand, thirteen".