11131250100 has 72 divisors (see below), whose sum is σ = 32614162560. Its totient is φ = 2930753280.

The previous prime is 11131250099. The next prime is 11131250113. The reversal of 11131250100 is 105213111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131250100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 211137 + ... + 258536.

It is an arithmetic number, because the mean of its divisors is an integer number (452974480).

Almost surely, 2^11131250100 is an apocalyptic number.

11131250100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131250100 is an abundant number, since it is smaller than the sum of its proper divisors (21482912460).

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

11131250100 is a wasteful number, since it uses less digits than its factorization.

11131250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469769 (or 469762 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11131250100 its reverse (105213111), we get a palindrome (11236463211).

The spelling of 11131250100 in words is "eleven billion, one hundred thirty-one million, two hundred fifty thousand, one hundred".