11265005314121 has 8 divisors (see below), whose sum is σ = 12133165936584. Its totient is φ = 10397076370560.

The previous prime is 11265005314099. The next prime is 11265005314151. The reversal of 11265005314121 is 12141350056211.

11265005314121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 514180780096 + 10750824534025 = 717064^2 + 3278845^2 .

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 11265005314121 - 2¹⁰ = 11265005313097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11265005314151) 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, 57818726 + ... + 58013231.

It is an arithmetic number, because the mean of its divisors is an integer number (1516645742073).

Almost surely, 2^{11265005314121} is an apocalyptic number.

It is an amenable number.

11265005314121 is a deficient number, since it is larger than the sum of its proper divisors (868160622463).

11265005314121 is a wasteful number, since it uses less digits than its factorization.

11265005314121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115839451.

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 11265005314121 in words is "eleven trillion, two hundred sixty-five billion, five million, three hundred fourteen thousand, one hundred twenty-one".