10013003213121 has 96 divisors (see below), whose sum is σ = 14893345376000. Its totient is φ = 6480764743680.

The previous prime is 10013003213111. The next prime is 10013003213123. The reversal of 10013003213121 is 12131230031001.

10013003213121 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 30 + 0 + 321 + 312 + 1 = 666.

It is not a de Polignac number, because 10013003213121 - 2⁵ = 10013003213089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10013003213094 and 10013003213103.

It is not an unprimeable number, because it can be changed into a prime (10013003213123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7157256780 + ... + 7157258178.

Almost surely, 2^{10013003213121} is an apocalyptic number.

It is an amenable number.

10013003213121 is a deficient number, since it is larger than the sum of its proper divisors (4880342162879).

10013003213121 is a wasteful number, since it uses less digits than its factorization.

10013003213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2228 counting only the distinct ones).

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

Adding to 10013003213121 its reverse (12131230031001), we get a palindrome (22144233244122).

The spelling of 10013003213121 in words is "ten trillion, thirteen billion, three million, two hundred thirteen thousand, one hundred twenty-one".