10123131321 has 12 divisors (see below), whose sum is σ = 15482436372. Its totient is φ = 6351768576.

The previous prime is 10123131301. The next prime is 10123131349. The reversal of 10123131321 is 12313132101.

10123131321 is a `hidden beast` number, since 101 + 231 + 313 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3227489721 + 6895641600 = 56811^2 + 83040^2 .

It is not a de Polignac number, because 10123131321 - 2⁶ = 10123131257 is a prime.

It is a super-2 number, since 2×10123131321² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123131294 and 10123131303.

It is not an unprimeable number, because it can be changed into a prime (10123131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33081976 + ... + 33082281.

It is an arithmetic number, because the mean of its divisors is an integer number (1290203031).

Almost surely, 2^10123131321 is an apocalyptic number.

It is an amenable number.

10123131321 is a deficient number, since it is larger than the sum of its proper divisors (5359305051).

10123131321 is a wasteful number, since it uses less digits than its factorization.

10123131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66164280 (or 66164277 counting only the distinct ones).

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

Adding to 10123131321 its reverse (12313132101), we get a palindrome (22436263422).

The spelling of 10123131321 in words is "ten billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty-one".