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123133213001 is a prime number
BaseRepresentation
bin111001010101101001…
…1111011100101001001
3102202211100212022201102
41302223103323211021
54004134100304001
6132322220031145
711616233020121
oct1625323734511
9382740768642
10123133213001
1148247541457
121ba450924b5
13b7c4370966
145d61507c81
15330a0aee6b
hex1cab4fb949

123133213001 has 2 divisors, whose sum is σ = 123133213002. Its totient is φ = 123133213000.

The previous prime is 123133212991. The next prime is 123133213003. The reversal of 123133213001 is 100312331321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86909988025 + 36223224976 = 294805^2 + 190324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123133213001 is a prime.

Together with 123133213003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123133213003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566606500 + 61566606501.

It is an arithmetic number, because the mean of its divisors is an integer number (61566606501).

Almost surely, 2123133213001 is an apocalyptic number.

It is an amenable number.

123133213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133213001 is an equidigital number, since it uses as much as digits as its factorization.

123133213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123133213001 its reverse (100312331321), we get a palindrome (223445544322).

The spelling of 123133213001 in words is "one hundred twenty-three billion, one hundred thirty-three million, two hundred thirteen thousand, one".