11301504005141 has 32 divisors (see below), whose sum is σ = 13415740266240. Its totient is φ = 9318173990400.

The previous prime is 11301504005101. The next prime is 11301504005153. The reversal of 11301504005141 is 14150040510311.

It is a cyclic number.

It is not a de Polignac number, because 11301504005141 - 2¹⁴ = 11301503988757 is a prime.

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 11301504005141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301504005101) 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 31 ways as a sum of consecutive naturals, for example, 231891746 + ... + 231940476.

It is an arithmetic number, because the mean of its divisors is an integer number (419241883320).

Almost surely, 2^{11301504005141} is an apocalyptic number.

It is an amenable number.

11301504005141 is a deficient number, since it is larger than the sum of its proper divisors (2114236261099).

11301504005141 is a wasteful number, since it uses less digits than its factorization.

11301504005141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58925.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 11301504005141 its reverse (14150040510311), we get a palindrome (25451544515452).

The spelling of 11301504005141 in words is "eleven trillion, three hundred one billion, five hundred four million, five thousand, one hundred forty-one".