123133021001 has 2 divisors, whose sum is σ = 123133021002. Its totient is φ = 123133021000.

The previous prime is 123133020973. The next prime is 123133021021. The reversal of 123133021001 is 100120331321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123024861001 + 108160000 = 350749^2 + 10400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123133021001 is a prime.

It is not a weakly prime, because it can be changed into another prime (123133021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566510500 + 61566510501.

It is an arithmetic number, because the mean of its divisors is an integer number (61566510501).

Almost surely, 2^123133021001 is an apocalyptic number.

It is an amenable number.

123133021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133021001 is an equidigital number, since it uses as much as digits as its factorization.

123133021001 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 17.

Adding to 123133021001 its reverse (100120331321), we get a palindrome (223253352322).

The spelling of 123133021001 in words is "one hundred twenty-three billion, one hundred thirty-three million, twenty-one thousand, one".