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3001134143131 is a prime number
BaseRepresentation
bin101011101011000001100…
…010001101011010011011
3101121220110012100201100021
4223223001202031122123
5343132310320040011
610214411344051311
7426552621212605
oct53530142153233
911556405321307
103001134143131
11a57856a91253
12405781903b37
1318a00c7a6607
14a53817a2175
15530ee0c1471
hex2bac188d69b

3001134143131 has 2 divisors, whose sum is σ = 3001134143132. Its totient is φ = 3001134143130.

The previous prime is 3001134143107. The next prime is 3001134143143. The reversal of 3001134143131 is 1313414311003.

3001134143131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (1313414311003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3001134143131 - 25 = 3001134143099 is a prime.

It is a super-2 number, since 2×30011341431312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3001134143096 and 3001134143105.

It is not a weakly prime, because it can be changed into another prime (3001134147131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500567071565 + 1500567071566.

It is an arithmetic number, because the mean of its divisors is an integer number (1500567071566).

Almost surely, 23001134143131 is an apocalyptic number.

3001134143131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001134143131 is an equidigital number, since it uses as much as digits as its factorization.

3001134143131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 3001134143131 its reverse (1313414311003), we get a palindrome (4314548454134).

The spelling of 3001134143131 in words is "three trillion, one billion, one hundred thirty-four million, one hundred forty-three thousand, one hundred thirty-one".