11312521505300 has 144 divisors (see below), whose sum is σ = 26974700175360. Its totient is φ = 4098787608960.

The previous prime is 11312521505293. The next prime is 11312521505377. The reversal of 11312521505300 is 350512521311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109329389 + ... + 109432811.

Almost surely, 2^{11312521505300} is an apocalyptic number.

11312521505300 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 11312521505300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487350087680).

11312521505300 is an abundant number, since it is smaller than the sum of its proper divisors (15662178670060).

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

11312521505300 is a wasteful number, since it uses less digits than its factorization.

11312521505300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105982 (or 105975 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 11312521505300 in words is "eleven trillion, three hundred twelve billion, five hundred twenty-one million, five hundred five thousand, three hundred".