11121121000013 has 8 divisors (see below), whose sum is σ = 11135376974232. Its totient is φ = 11106865784896.

The previous prime is 11121121000007. The next prime is 11121121000061. The reversal of 11121121000013 is 31000012112111.

It can be written as a sum of positive squares in 4 ways, for example, as 4748136876484 + 6372984123529 = 2179022^2 + 2524477^2 .

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 11121121000013 - 2¹² = 11121120995917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121121000813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32792831 + ... + 33130227.

It is an arithmetic number, because the mean of its divisors is an integer number (1391922121779).

Almost surely, 2^{11121121000013} is an apocalyptic number.

It is an amenable number.

11121121000013 is a deficient number, since it is larger than the sum of its proper divisors (14255974219).

11121121000013 is an equidigital number, since it uses as much as digits as its factorization.

11121121000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379551.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11121121000013 its reverse (31000012112111), we get a palindrome (42121133112124).

The spelling of 11121121000013 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-one million, thirteen", and thus it is an aban number.