3123300133007 has 2 divisors, whose sum is σ = 3123300133008. Its totient is φ = 3123300133006.

The previous prime is 3123300132923. The next prime is 3123300133027. The reversal of 3123300133007 is 7003310033213.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3123300133007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123300133027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561650066503 + 1561650066504.

It is an arithmetic number, because the mean of its divisors is an integer number (1561650066504).

Almost surely, 2^{3123300133007} is an apocalyptic number.

3123300133007 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123300133007 is an equidigital number, since it uses as much as digits as its factorization.

3123300133007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 26.

The spelling of 3123300133007 in words is "three trillion, one hundred twenty-three billion, three hundred million, one hundred thirty-three thousand, seven".