11513101000 has 64 divisors (see below), whose sum is σ = 27091584000. Its totient is φ = 4579441600.

The previous prime is 11513100997. The next prime is 11513101003. The reversal of 11513101000 is 10131511.

It is an interprime number because it is at equal distance from previous prime (11513100997) and next prime (11513101003).

It is not an unprimeable number, because it can be changed into a prime (11513101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146841 + ... + 211159.

It is an arithmetic number, because the mean of its divisors is an integer number (423306000).

Almost surely, 2^11513101000 is an apocalyptic number.

11513101000 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 11513101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545792000).

11513101000 is an abundant number, since it is smaller than the sum of its proper divisors (15578483000).

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

11513101000 is a wasteful number, since it uses less digits than its factorization.

11513101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64519 (or 64505 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 13.

Adding to 11513101000 its reverse (10131511), we get a palindrome (11523232511).

The spelling of 11513101000 in words is "eleven billion, five hundred thirteen million, one hundred one thousand".