10131210210321 has 48 divisors (see below), whose sum is σ = 15234002214912. Its totient is φ = 6481080021600.

The previous prime is 10131210210241. The next prime is 10131210210343. The reversal of 10131210210321 is 12301201213101.

10131210210321 is a `hidden beast` number, since 1 + 0 + 1 + 312 + 10 + 21 + 0 + 321 = 666.

10131210210321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10131210210321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131210210294 and 10131210210303.

It is not an unprimeable number, because it can be changed into a prime (10131210250321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19342146 + ... + 19859028.

It is an arithmetic number, because the mean of its divisors is an integer number (317375046144).

Almost surely, 2^{10131210210321} is an apocalyptic number.

It is an amenable number.

10131210210321 is a deficient number, since it is larger than the sum of its proper divisors (5102792004591).

10131210210321 is a wasteful number, since it uses less digits than its factorization.

10131210210321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517514 (or 517511 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131210210321 its reverse (12301201213101), we get a palindrome (22432411423422).

The spelling of 10131210210321 in words is "ten trillion, one hundred thirty-one billion, two hundred ten million, two hundred ten thousand, three hundred twenty-one".