10123331012009 has 2 divisors, whose sum is σ = 10123331012010. Its totient is φ = 10123331012008.

The previous prime is 10123331011999. The next prime is 10123331012111. The reversal of 10123331012009 is 90021013332101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6174255888025 + 3949075123984 = 2484805^2 + 1987228^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123331012009 - 2⁸ = 10123331011753 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123331012609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061665506004 + 5061665506005.

It is an arithmetic number, because the mean of its divisors is an integer number (5061665506005).

Almost surely, 2^{10123331012009} is an apocalyptic number.

It is an amenable number.

10123331012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123331012009 is an equidigital number, since it uses as much as digits as its factorization.

10123331012009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 10123331012009 in words is "ten trillion, one hundred twenty-three billion, three hundred thirty-one million, twelve thousand, nine".