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130002013181 is a prime number
BaseRepresentation
bin111100100010010111…
…0010100101111111101
3110102120001201112012002
41321010232110233331
54112221003410211
6135415550152045
712251366610455
oct1710456245775
9412501645162
10130002013181
1150151824717
12212414b2625
13c34a42ac71
146413870d65
1535ad11003b
hex1e44b94bfd

130002013181 has 2 divisors, whose sum is σ = 130002013182. Its totient is φ = 130002013180.

The previous prime is 130002013171. The next prime is 130002013201. The reversal of 130002013181 is 181310200031.

It is an a-pointer prime, because the next prime (130002013201) can be obtained adding 130002013181 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96384790681 + 33617222500 = 310459^2 + 183350^2 .

It is a cyclic number.

It is not a de Polignac number, because 130002013181 - 230 = 128928271357 is a prime.

It is a super-2 number, since 2×1300020131812 (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 (130002013171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65001006590 + 65001006591.

It is an arithmetic number, because the mean of its divisors is an integer number (65001006591).

Almost surely, 2130002013181 is an apocalyptic number.

It is an amenable number.

130002013181 is a deficient number, since it is larger than the sum of its proper divisors (1).

130002013181 is an equidigital number, since it uses as much as digits as its factorization.

130002013181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 130002013181 in words is "one hundred thirty billion, two million, thirteen thousand, one hundred eighty-one".