11513201513220 has 384 divisors, whose sum is σ = 41146769664000. Its totient is φ = 2643211077120.

The previous prime is 11513201513207. The next prime is 11513201513221. The reversal of 11513201513220 is 2231510231511.

11513201513220 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 320 + 15 + 1 + 322 + 0 = 666.

It is a super-2 number, since 2×11513201513220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11513201513221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334386966 + ... + 334421394.

It is an arithmetic number, because the mean of its divisors is an integer number (107153046000).

Almost surely, 2^{11513201513220} is an apocalyptic number.

11513201513220 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 11513201513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573384832000).

11513201513220 is an abundant number, since it is smaller than the sum of its proper divisors (29633568150780).

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

11513201513220 is a wasteful number, since it uses less digits than its factorization.

11513201513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37440 (or 37432 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 11513201513220 its reverse (2231510231511), we get a palindrome (13744711744731).

The spelling of 11513201513220 in words is "eleven trillion, five hundred thirteen billion, two hundred one million, five hundred thirteen thousand, two hundred twenty".