11213675100 has 144 divisors (see below), whose sum is σ = 37024540000. Its totient is φ = 2909468160.

The previous prime is 11213675071. The next prime is 11213675107. The reversal of 11213675100 is 157631211.

11213675100 is a `hidden beast` number, since 1 + 12 + 136 + 7 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213675107) 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, 43776 + ... + 156024.

Almost surely, 2^11213675100 is an apocalyptic number.

11213675100 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 11213675100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18512270000).

11213675100 is an abundant number, since it is smaller than the sum of its proper divisors (25810864900).

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

11213675100 is a wasteful number, since it uses less digits than its factorization.

11213675100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112309 (or 112296 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11213675100 in words is "eleven billion, two hundred thirteen million, six hundred seventy-five thousand, one hundred".