11513016610100 has 18 divisors (see below), whose sum is σ = 24983246044134. Its totient is φ = 4605206644000.

The previous prime is 11513016610079. The next prime is 11513016610169. The reversal of 11513016610100 is 101661031511.

11513016610100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1546645424164 + 9966371185936 = 1243642^2 + 3156956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11513016610100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57565082951 + ... + 57565083150.

It is an arithmetic number, because the mean of its divisors is an integer number (1387958113563).

Almost surely, 2^{11513016610100} is an apocalyptic number.

11513016610100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11513016610100 is an abundant number, since it is smaller than the sum of its proper divisors (13470229434034).

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

11513016610100 is a wasteful number, since it uses less digits than its factorization.

11513016610100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115130166115 (or 115130166108 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 26.

Adding to 11513016610100 its reverse (101661031511), we get a palindrome (11614677641611).

The spelling of 11513016610100 in words is "eleven trillion, five hundred thirteen billion, sixteen million, six hundred ten thousand, one hundred".