10001311233320 has 128 divisors (see below), whose sum is σ = 25688582403840. Its totient is φ = 3468860989440.

The previous prime is 10001311233281. The next prime is 10001311233323. The reversal of 10001311233320 is 2333211310001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10001311233292 and 10001311233301.

It is not an unprimeable number, because it can be changed into a prime (10001311233323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172542 + ... + 4972178.

It is an arithmetic number, because the mean of its divisors is an integer number (200692050030).

Almost surely, 2^{10001311233320} is an apocalyptic number.

10001311233320 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 10001311233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844291201920).

10001311233320 is an abundant number, since it is smaller than the sum of its proper divisors (15687271170520).

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

10001311233320 is a wasteful number, since it uses less digits than its factorization.

10001311233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800035 (or 2800031 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10001311233320 its reverse (2333211310001), we get a palindrome (12334522543321).

The spelling of 10001311233320 in words is "ten trillion, one billion, three hundred eleven million, two hundred thirty-three thousand, three hundred twenty".