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130301213813 is a prime number
BaseRepresentation
bin111100101011010001…
…1101011110001110101
3110110022220201111021222
41321112203223301311
54113324102320223
6135505355120125
712261662020511
oct1712643536165
9413286644258
10130301213813
1150295702571
1221305743045
13c397408c64
1464414b7141
1535c95120c8
hex1e568ebc75

130301213813 has 2 divisors, whose sum is σ = 130301213814. Its totient is φ = 130301213812.

The previous prime is 130301213807. The next prime is 130301213893. The reversal of 130301213813 is 318312103031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79971880849 + 50329332964 = 282793^2 + 224342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130301213813 is a prime.

It is a super-2 number, since 2×1303012138132 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130301213803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65150606906 + 65150606907.

It is an arithmetic number, because the mean of its divisors is an integer number (65150606907).

Almost surely, 2130301213813 is an apocalyptic number.

It is an amenable number.

130301213813 is a deficient number, since it is larger than the sum of its proper divisors (1).

130301213813 is an equidigital number, since it uses as much as digits as its factorization.

130301213813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 130301213813 its reverse (318312103031), we get a palindrome (448613316844).

The spelling of 130301213813 in words is "one hundred thirty billion, three hundred one million, two hundred thirteen thousand, eight hundred thirteen".