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2023133103401 is a prime number
BaseRepresentation
bin11101011100001100001…
…000010100010100101001
321011102001121212021002112
4131130030020110110221
5231121334033302101
64145225311412105
7266111060432144
oct35341410242451
97142047767075
102023133103401
11710007991863
1228811b224035
13118a1c087737
146dcc4d0905b
153795dd306bb
hex1d70c214529

2023133103401 has 2 divisors, whose sum is σ = 2023133103402. Its totient is φ = 2023133103400.

The previous prime is 2023133103377. The next prime is 2023133103419. The reversal of 2023133103401 is 1043013313202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1599911295376 + 423221808025 = 1264876^2 + 650555^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023133103401 - 230 = 2022059361577 is a prime.

It is a super-2 number, since 2×20231331034012 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2023133105401) 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, 1011566551700 + 1011566551701.

It is an arithmetic number, because the mean of its divisors is an integer number (1011566551701).

Almost surely, 22023133103401 is an apocalyptic number.

It is an amenable number.

2023133103401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023133103401 is an equidigital number, since it uses as much as digits as its factorization.

2023133103401 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 23.

Adding to 2023133103401 its reverse (1043013313202), we get a palindrome (3066146416603).

The spelling of 2023133103401 in words is "two trillion, twenty-three billion, one hundred thirty-three million, one hundred three thousand, four hundred one".