11315301513200 has 60 divisors (see below), whose sum is σ = 28122426117240. Its totient is φ = 4370047476480.

The previous prime is 11315301513181. The next prime is 11315301513211. The reversal of 11315301513200 is 231510351311.

It is a happy number.

11315301513200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11315301513200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487716914 + ... + 487740113.

It is an arithmetic number, because the mean of its divisors is an integer number (468707101954).

Almost surely, 2^{11315301513200} is an apocalyptic number.

11315301513200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315301513200 is an abundant number, since it is smaller than the sum of its proper divisors (16807124604040).

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

11315301513200 is a wasteful number, since it uses less digits than its factorization.

11315301513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975457074 (or 975457063 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

Adding to 11315301513200 its reverse (231510351311), we get a palindrome (11546811864511).

The spelling of 11315301513200 in words is "eleven trillion, three hundred fifteen billion, three hundred one million, five hundred thirteen thousand, two hundred".