123033313001 has 2 divisors, whose sum is σ = 123033313002. Its totient is φ = 123033313000.

The previous prime is 123033312959. The next prime is 123033313021. The reversal of 123033313001 is 100313330321.

It is an a-pointer prime, because the next prime (123033313021) can be obtained adding 123033313001 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89355557776 + 33677755225 = 298924^2 + 183515^2 .

It is a cyclic number.

It is not a de Polignac number, because 123033313001 - 2¹⁸ = 123033050857 is a prime.

It is a super-2 number, since 2×123033313001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123033313021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61516656500 + 61516656501.

It is an arithmetic number, because the mean of its divisors is an integer number (61516656501).

Almost surely, 2^123033313001 is an apocalyptic number.

It is an amenable number.

123033313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123033313001 is an equidigital number, since it uses as much as digits as its factorization.

123033313001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 123033313001 its reverse (100313330321), we get a palindrome (223346643322).

The spelling of 123033313001 in words is "one hundred twenty-three billion, thirty-three million, three hundred thirteen thousand, one".