11211101313101 has 4 divisors (see below), whose sum is σ = 11211197115072. Its totient is φ = 11211005511132.

The previous prime is 11211101313089. The next prime is 11211101313107. The reversal of 11211101313101 is 10131310111211.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 11211101313101 - 2³⁴ = 11193921443917 is a prime.

It is a super-2 number, since 2×11211101313101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11211101313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211101313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47725235 + ... + 47959568.

It is an arithmetic number, because the mean of its divisors is an integer number (2802799278768).

Almost surely, 2^{11211101313101} is an apocalyptic number.

It is an amenable number.

11211101313101 is a deficient number, since it is larger than the sum of its proper divisors (95801971).

11211101313101 is an equidigital number, since it uses as much as digits as its factorization.

11211101313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95801970.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 11211101313101 its reverse (10131310111211), we get a palindrome (21342411424312).

The spelling of 11211101313101 in words is "eleven trillion, two hundred eleven billion, one hundred one million, three hundred thirteen thousand, one hundred one".