10011300000 has 576 divisors, whose sum is σ = 37703086848. Its totient is φ = 2304000000.

The previous prime is 10011299971. The next prime is 10011300007. The reversal of 10011300000 is 311001.

It is a super-2 number, since 2×10011300000² (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 not an unprimeable number, because it can be changed into a prime (10011300007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66299925 + ... + 66300075.

It is an arithmetic number, because the mean of its divisors is an integer number (65456748).

Almost surely, 2^10011300000 is an apocalyptic number.

10011300000 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 10011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851543424).

10011300000 is an abundant number, since it is smaller than the sum of its proper divisors (27691786848).

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

10011300000 is a wasteful number, since it uses less digits than its factorization.

10011300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

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

Adding to 10011300000 its reverse (311001), we get a palindrome (10011611001).

The spelling of 10011300000 in words is "ten billion, eleven million, three hundred thousand".