11200011301013 has 8 divisors (see below), whose sum is σ = 11302848367800. Its totient is φ = 11097175773888.

The previous prime is 11200011300997. The next prime is 11200011301049. The reversal of 11200011301013 is 31010311000211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5630213059249 + 5569798241764 = 2372807^2 + 2360042^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11200011301013 - 2⁴ = 11200011300997 is a prime.

It is a super-3 number, since 3×11200011301013³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200011301313) 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, 18434795 + ... + 19032647.

It is an arithmetic number, because the mean of its divisors is an integer number (1412856045975).

Almost surely, 2^{11200011301013} is an apocalyptic number.

It is an amenable number.

11200011301013 is a deficient number, since it is larger than the sum of its proper divisors (102837066787).

11200011301013 is a wasteful number, since it uses less digits than its factorization.

11200011301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769831.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11200011301013 its reverse (31010311000211), we get a palindrome (42210322301224).

The spelling of 11200011301013 in words is "eleven trillion, two hundred billion, eleven million, three hundred one thousand, thirteen".