11310219000 has 512 divisors, whose sum is σ = 42598483200. Its totient is φ = 2764800000.

The previous prime is 11310218981. The next prime is 11310219029. The reversal of 11310219000 is 91201311.

It is a super-2 number, since 2×11310219000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18818700 + ... + 18819300.

Almost surely, 2^11310219000 is an apocalyptic number.

11310219000 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 11310219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299241600).

11310219000 is an abundant number, since it is smaller than the sum of its proper divisors (31288264200).

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

11310219000 is a wasteful number, since it uses less digits than its factorization.

11310219000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 11310219000 in words is "eleven billion, three hundred ten million, two hundred nineteen thousand".