11530535413100 has 216 divisors, whose sum is σ = 29065705300800. Its totient is φ = 3956396400000.

The previous prime is 11530535413073. The next prime is 11530535413109. The reversal of 11530535413100 is 131453503511.

It is a super-2 number, since 2×11530535413100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11530535413109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57604991 + ... + 57804809.

Almost surely, 2^{11530535413100} is an apocalyptic number.

11530535413100 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 11530535413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532852650400).

11530535413100 is an abundant number, since it is smaller than the sum of its proper divisors (17535169887700).

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

11530535413100 is a wasteful number, since it uses less digits than its factorization.

11530535413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200125 (or 200107 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 11530535413100 its reverse (131453503511), we get a palindrome (11661988916611).

The spelling of 11530535413100 in words is "eleven trillion, five hundred thirty billion, five hundred thirty-five million, four hundred thirteen thousand, one hundred".