11550101401300 has 144 divisors (see below), whose sum is σ = 31273850345472. Its totient is φ = 3597085065600.

The previous prime is 11550101401291. The next prime is 11550101401309. The reversal of 11550101401300 is 310410105511.

11550101401300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11550101401291) and next prime (11550101401309).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11550101401309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8803849 + ... + 10030351.

It is an arithmetic number, because the mean of its divisors is an integer number (217179516288).

Almost surely, 2^{11550101401300} is an apocalyptic number.

11550101401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11550101401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636925172736).

11550101401300 is an abundant number, since it is smaller than the sum of its proper divisors (19723748944172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11550101401300 is a wasteful number, since it uses less digits than its factorization.

11550101401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227758 (or 1227751 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 11550101401300 its reverse (310410105511), we get a palindrome (11860511506811).

The spelling of 11550101401300 in words is "eleven trillion, five hundred fifty billion, one hundred one million, four hundred one thousand, three hundred".