11301121300 has 144 divisors (see below), whose sum is σ = 30190067712. Its totient is φ = 3586492800.

The previous prime is 11301121291. The next prime is 11301121303. The reversal of 11301121300 is 312110311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301121303) 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, 487779 + ... + 510421.

It is an arithmetic number, because the mean of its divisors is an integer number (209653248).

Almost surely, 2^11301121300 is an apocalyptic number.

11301121300 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 11301121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095033856).

11301121300 is an abundant number, since it is smaller than the sum of its proper divisors (18888946412).

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

11301121300 is a wasteful number, since it uses less digits than its factorization.

11301121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22718 (or 22711 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11301121300 its reverse (312110311), we get a palindrome (11613231611).

The spelling of 11301121300 in words is "eleven billion, three hundred one million, one hundred twenty-one thousand, three hundred".