10123121331 has 36 divisors (see below), whose sum is σ = 15196569024. Its totient is φ = 6486948000.

The previous prime is 10123121279. The next prime is 10123121413. The reversal of 10123121331 is 13312132101.

10123121331 is a `hidden beast` number, since 10 + 12 + 312 + 1 + 331 = 666.

10123121331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10123121331 - 2²⁵ = 10089566899 is a prime.

It is a super-2 number, since 2×10123121331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10123121431) 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 35 ways as a sum of consecutive naturals, for example, 7780381 + ... + 7781681.

Almost surely, 2^10123121331 is an apocalyptic number.

10123121331 is a deficient number, since it is larger than the sum of its proper divisors (5073447693).

10123121331 is a wasteful number, since it uses less digits than its factorization.

10123121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1502 counting only the distinct ones).

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

Adding to 10123121331 its reverse (13312132101), we get a palindrome (23435253432).

The spelling of 10123121331 in words is "ten billion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-one".