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113131242001 is a prime number
BaseRepresentation
bin110100101011100100…
…1011100001000010001
3101211000022101112220001
41221113021130020101
53323143044221001
6123545523050001
711113332455611
oct1512711341021
9354008345801
10113131242001
1143a84700618
1219b13510901
13a88c14331b
145692dd0a41
152e21e63001
hex1a5725c211

113131242001 has 2 divisors, whose sum is σ = 113131242002. Its totient is φ = 113131242000.

The previous prime is 113131241959. The next prime is 113131242013. The reversal of 113131242001 is 100242131311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103590641025 + 9540600976 = 321855^2 + 97676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113131242001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113131242001.

It is not a weakly prime, because it can be changed into another prime (113131242401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565621000 + 56565621001.

It is an arithmetic number, because the mean of its divisors is an integer number (56565621001).

Almost surely, 2113131242001 is an apocalyptic number.

It is an amenable number.

113131242001 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131242001 is an equidigital number, since it uses as much as digits as its factorization.

113131242001 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 19.

Adding to 113131242001 its reverse (100242131311), we get a palindrome (213373373312).

The spelling of 113131242001 in words is "one hundred thirteen billion, one hundred thirty-one million, two hundred forty-two thousand, one".