10005311320 has 32 divisors (see below), whose sum is σ = 22538113920. Its totient is φ = 3997473280.

The previous prime is 10005311311. The next prime is 10005311321. The reversal of 10005311320 is 2311350001.

It is a super-2 number, since 2×10005311320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005311294 and 10005311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005311321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110401 + ... + 179440.

It is an arithmetic number, because the mean of its divisors is an integer number (704316060).

Almost surely, 2^10005311320 is an apocalyptic number.

10005311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005311320 is an abundant number, since it is smaller than the sum of its proper divisors (12532802600).

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

10005311320 is a wasteful number, since it uses less digits than its factorization.

10005311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290715 (or 290711 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 10005311320 its reverse (2311350001), we get a palindrome (12316661321).

The spelling of 10005311320 in words is "ten billion, five million, three hundred eleven thousand, three hundred twenty".