Search a number
-
+
2023100133013 is a prime number
BaseRepresentation
bin11101011100001010001…
…010100010111010010101
321011101222022211012020001
4131130022022202322111
5231121302113224023
64145222133011301
7266110210252441
oct35341212427225
97141868735201
102023100133013
1170aaa0312703
12288110183b31
13118a152b272b
146dcc07a5821
153795aebb6ad
hex1d70a2a2e95

2023100133013 has 2 divisors, whose sum is σ = 2023100133014. Its totient is φ = 2023100133012.

The previous prime is 2023100132959. The next prime is 2023100133059. The reversal of 2023100133013 is 3103310013202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1759912664689 + 263187468324 = 1326617^2 + 513018^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2023100133013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023100139013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011550066506 + 1011550066507.

It is an arithmetic number, because the mean of its divisors is an integer number (1011550066507).

Almost surely, 22023100133013 is an apocalyptic number.

It is an amenable number.

2023100133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023100133013 is an equidigital number, since it uses as much as digits as its factorization.

2023100133013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2023100133013 its reverse (3103310013202), we get a palindrome (5126410146215).

The spelling of 2023100133013 in words is "two trillion, twenty-three billion, one hundred million, one hundred thirty-three thousand, thirteen".