10011101320 has 64 divisors (see below), whose sum is σ = 24661713600. Its totient is φ = 3627214080.

The previous prime is 10011101299. The next prime is 10011101327. The reversal of 10011101320 is 2310111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10011101297 and 10011101306.

It is not an unprimeable number, because it can be changed into a prime (10011101327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80811 + ... + 162949.

It is an arithmetic number, because the mean of its divisors is an integer number (385339275).

Almost surely, 2^10011101320 is an apocalyptic number.

10011101320 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 10011101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330856800).

10011101320 is an abundant number, since it is smaller than the sum of its proper divisors (14650612280).

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

10011101320 is a wasteful number, since it uses less digits than its factorization.

10011101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82438 (or 82434 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10011101320 its reverse (2310111001), we get a palindrome (12321212321).

The spelling of 10011101320 in words is "ten billion, eleven million, one hundred one thousand, three hundred twenty".