10013312221320 has 64 divisors (see below), whose sum is σ = 31806991768320. Its totient is φ = 2513145027584.

The previous prime is 10013312221313. The next prime is 10013312221327. The reversal of 10013312221320 is 2312221331001.

It is an interprime number because it is at equal distance from previous prime (10013312221313) and next prime (10013312221327).

It is not an unprimeable number, because it can be changed into a prime (10013312221327) 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 15 ways as a sum of consecutive naturals, for example, 2454241152 + ... + 2454245231.

It is an arithmetic number, because the mean of its divisors is an integer number (496984246380).

Almost surely, 2^{10013312221320} is an apocalyptic number.

10013312221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013312221320 is an abundant number, since it is smaller than the sum of its proper divisors (21793679547000).

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

10013312221320 is a wasteful number, since it uses less digits than its factorization.

10013312221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908486414 (or 4908486410 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10013312221320 its reverse (2312221331001), we get a palindrome (12325533552321).

The spelling of 10013312221320 in words is "ten trillion, thirteen billion, three hundred twelve million, two hundred twenty-one thousand, three hundred twenty".