11201002020013 has 8 divisors (see below), whose sum is σ = 12186974443448. Its totient is φ = 10232794865664.

The previous prime is 11201002020007. The next prime is 11201002020023. The reversal of 11201002020013 is 31002020010211.

It can be written as a sum of positive squares in 4 ways, for example, as 49656774244 + 11151345245769 = 222838^2 + 3339363^2 .

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 11201002020013 - 2²⁵ = 11200968465581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201002019975 and 11201002020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201002020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4441315956 + ... + 4441318477.

It is an arithmetic number, because the mean of its divisors is an integer number (1523371805431).

Almost surely, 2^{11201002020013} is an apocalyptic number.

11201002020013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11201002020013 is a deficient number, since it is larger than the sum of its proper divisors (985972423435).

11201002020013 is an equidigital number, since it uses as much as digits as its factorization.

11201002020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882634543.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11201002020013 its reverse (31002020010211), we get a palindrome (42203022030224).

The spelling of 11201002020013 in words is "eleven trillion, two hundred one billion, two million, twenty thousand, thirteen".