11131450265100 has 288 divisors, whose sum is σ = 35429369875200. Its totient is φ = 2675977344000.

The previous prime is 11131450265083. The next prime is 11131450265231. The reversal of 11131450265100 is 156205413111.

11131450265100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301393635 + ... + 301430565.

It is an arithmetic number, because the mean of its divisors is an integer number (123018645400).

Almost surely, 2^{11131450265100} is an apocalyptic number.

11131450265100 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 11131450265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714684937600).

11131450265100 is an abundant number, since it is smaller than the sum of its proper divisors (24297919610100).

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

11131450265100 is a wasteful number, since it uses less digits than its factorization.

11131450265100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37721 (or 37714 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 11131450265100 its reverse (156205413111), we get a palindrome (11287655678211).

The spelling of 11131450265100 in words is "eleven trillion, one hundred thirty-one billion, four hundred fifty million, two hundred sixty-five thousand, one hundred".