11131220100 has 576 divisors, whose sum is σ = 43789197312. Its totient is φ = 2108160000.

The previous prime is 11131220057. The next prime is 11131220143. The reversal of 11131220100 is 102213111.

It is an interprime number because it is at equal distance from previous prime (11131220057) and next prime (11131220143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30330117 + ... + 30330483.

It is an arithmetic number, because the mean of its divisors is an integer number (76022912).

Almost surely, 2^11131220100 is an apocalyptic number.

11131220100 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 11131220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21894598656).

11131220100 is an abundant number, since it is smaller than the sum of its proper divisors (32657977212).

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

11131220100 is a wasteful number, since it uses less digits than its factorization.

11131220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11131220100 its reverse (102213111), we get a palindrome (11233433211).

The spelling of 11131220100 in words is "eleven billion, one hundred thirty-one million, two hundred twenty thousand, one hundred".