10123331012001 has 12 divisors (see below), whose sum is σ = 14712298378128. Its totient is φ = 6707483123544.

The previous prime is 10123331011999. The next prime is 10123331012009. The reversal of 10123331012001 is 10021013332101.

10123331012001 is a `hidden beast` number, since 1 + 0 + 1 + 233 + 310 + 120 + 0 + 1 = 666.

It is not a de Polignac number, because 10123331012001 - 2¹ = 10123331011999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10123331012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450349935 + ... + 3450352868.

It is an arithmetic number, because the mean of its divisors is an integer number (1226024864844).

Almost surely, 2^{10123331012001} is an apocalyptic number.

It is an amenable number.

10123331012001 is a deficient number, since it is larger than the sum of its proper divisors (4588967366127).

10123331012001 is a wasteful number, since it uses less digits than its factorization.

10123331012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900702972 (or 6900702969 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10123331012001 its reverse (10021013332101), we get a palindrome (20144344344102).

The spelling of 10123331012001 in words is "ten trillion, one hundred twenty-three billion, three hundred thirty-one million, twelve thousand, one".