11310000000 has 512 divisors, whose sum is σ = 41835830400. Its totient is φ = 2688000000.

The previous prime is 11309999999. The next prime is 11310000007. The reversal of 11310000000 is 1311.

It is a super-2 number, since 2×11310000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389999986 + ... + 390000014.

Almost surely, 2^11310000000 is an apocalyptic number.

11310000000 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 11310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917915200).

11310000000 is an abundant number, since it is smaller than the sum of its proper divisors (30525830400).

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

11310000000 is an frugal number, since it uses more digits than its factorization.

11310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 11310000000 its reverse (1311), we get a palindrome (11310001311).

The spelling of 11310000000 in words is "eleven billion, three hundred ten million", and thus it is an aban number.