10123133312331 has 24 divisors (see below), whose sum is σ = 16044211297296. Its totient is φ = 6112080486720.

The previous prime is 10123133312213. The next prime is 10123133312351. The reversal of 10123133312331 is 13321333132101.

10123133312331 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 13 + 3 + 312 + 331 = 666.

It is not a de Polignac number, because 10123133312331 - 2⁷ = 10123133312203 is a prime.

It is a super-3 number, since 3×10123133312331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10123133312295 and 10123133312304.

It is not an unprimeable number, because it can be changed into a prime (10123133312351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816243865 + ... + 816256266.

It is an arithmetic number, because the mean of its divisors is an integer number (668508804054).

Almost surely, 2^{10123133312331} is an apocalyptic number.

10123133312331 is a deficient number, since it is larger than the sum of its proper divisors (5921077984965).

10123133312331 is a wasteful number, since it uses less digits than its factorization.

10123133312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632500203 (or 1632500200 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10123133312331 its reverse (13321333132101), we get a palindrome (23444466444432).

The spelling of 10123133312331 in words is "ten trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twelve thousand, three hundred thirty-one".