11121531300 has 216 divisors, whose sum is σ = 38144975232. Its totient is φ = 2687904000.

The previous prime is 11121531293. The next prime is 11121531367. The reversal of 11121531300 is 313512111.

11121531300 is a `hidden beast` number, since 11 + 121 + 531 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3631770 + ... + 3634830.

Almost surely, 2^11121531300 is an apocalyptic number.

11121531300 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 11121531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072487616).

11121531300 is an abundant number, since it is smaller than the sum of its proper divisors (27023443932).

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

11121531300 is a wasteful number, since it uses less digits than its factorization.

11121531300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 11121531300 in words is "eleven billion, one hundred twenty-one million, five hundred thirty-one thousand, three hundred".