1100213120013 has 16 divisors (see below), whose sum is σ = 1676539232256. Its totient is φ = 628684210800.

The previous prime is 1100213119877. The next prime is 1100213120051. The reversal of 1100213120013 is 3100213120011.

It is a happy number.

It is not a de Polignac number, because 1100213120013 - 2⁹ = 1100213119501 is a prime.

It is a super-2 number, since 2×1100213120013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100213119974 and 1100213120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100213125013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300920 + ... + 1973022.

It is an arithmetic number, because the mean of its divisors is an integer number (104783702016).

Almost surely, 2^{1100213120013} is an apocalyptic number.

It is an amenable number.

1100213120013 is a deficient number, since it is larger than the sum of its proper divisors (576326112243).

1100213120013 is an equidigital number, since it uses as much as digits as its factorization.

1100213120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750064.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1100213120013 its reverse (3100213120011), we get a palindrome (4200426240024).

The spelling of 1100213120013 in words is "one trillion, one hundred billion, two hundred thirteen million, one hundred twenty thousand, thirteen".