9213100013129 has 32 divisors (see below), whose sum is σ = 10132168800000. Its totient is φ = 8343471515904.

The previous prime is 9213100013123. The next prime is 9213100013137.

It is a happy number.

9213100013129 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 9213100013129 - 2¹² = 9213100009033 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 = 9213100013095 and 9213100013104.

It is not an unprimeable number, because it can be changed into a prime (9213100013123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281308247 + ... + 281340995.

It is an arithmetic number, because the mean of its divisors is an integer number (316630275000).

Almost surely, 2^{9213100013129} is an apocalyptic number.

It is an amenable number.

9213100013129 is a deficient number, since it is larger than the sum of its proper divisors (919068786871).

9213100013129 is a wasteful number, since it uses less digits than its factorization.

9213100013129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37857.

The product of its (nonzero) digits is 2916, while the sum is 32.

It can be divided in two parts, 92131000 and 13129, that added together give a palindrome (92144129).

The spelling of 9213100013129 in words is "nine trillion, two hundred thirteen billion, one hundred million, thirteen thousand, one hundred twenty-nine".