Search a number
-
+
13131002023 is a prime number
BaseRepresentation
bin11000011101010101…
…10011000010100111
31020220010022000110021
430032222303002213
5203343014031043
610010550540011
7643253450506
oct141652630247
936803260407
1013131002023
115629121197
122665667607
13131357b5a9
148c7d0a83d
1551cbcc3ed
hex30eab30a7

13131002023 has 2 divisors, whose sum is σ = 13131002024. Its totient is φ = 13131002022.

The previous prime is 13131001997. The next prime is 13131002029. The reversal of 13131002023 is 32020013131.

13131002023 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 a cyclic number.

It is not a de Polignac number, because 13131002023 - 229 = 12594131111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131001988 and 13131002006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565501011 + 6565501012.

It is an arithmetic number, because the mean of its divisors is an integer number (6565501012).

Almost surely, 213131002023 is an apocalyptic number.

13131002023 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131002023 is an equidigital number, since it uses as much as digits as its factorization.

13131002023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13131002023 its reverse (32020013131), we get a palindrome (45151015154).

The spelling of 13131002023 in words is "thirteen billion, one hundred thirty-one million, two thousand, twenty-three".