11281318100 has 72 divisors (see below), whose sum is σ = 27006714168. Its totient is φ = 4063795200.

The previous prime is 11281318091. The next prime is 11281318109. The reversal of 11281318100 is 181318211.

It is an interprime number because it is at equal distance from previous prime (11281318091) and next prime (11281318109).

It can be written as a sum of positive squares in 12 ways, for example, as 5266695184 + 6014622916 = 72572^2 + 77554^2 .

It is a super-2 number, since 2×11281318100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11281318100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11281318109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52529 + ... + 159128.

Almost surely, 2^11281318100 is an apocalyptic number.

11281318100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11281318100 is an abundant number, since it is smaller than the sum of its proper divisors (15725396068).

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

11281318100 is a wasteful number, since it uses less digits than its factorization.

11281318100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211725 (or 211718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 26.

The spelling of 11281318100 in words is "eleven billion, two hundred eighty-one million, three hundred eighteen thousand, one hundred".