10011102400213 has 8 divisors (see below), whose sum is σ = 10538147095200. Its totient is φ = 9484072162128.

The previous prime is 10011102400133. The next prime is 10011102400219. The reversal of 10011102400213 is 31200420111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011102400213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011102400219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2178178 + ... + 4976611.

It is an arithmetic number, because the mean of its divisors is an integer number (1317268386900).

Almost surely, 2^{10011102400213} is an apocalyptic number.

It is an amenable number.

10011102400213 is a deficient number, since it is larger than the sum of its proper divisors (527044694987).

10011102400213 is an equidigital number, since it uses as much as digits as its factorization.

10011102400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228451.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10011102400213 its reverse (31200420111001), we get a palindrome (41211522511214).

The spelling of 10011102400213 in words is "ten trillion, eleven billion, one hundred two million, four hundred thousand, two hundred thirteen".