10013330330320 has 20 divisors (see below), whose sum is σ = 23280993018180. Its totient is φ = 4005332132096.

The previous prime is 10013330330303. The next prime is 10013330330329. The reversal of 10013330330320 is 2303303331001.

It can be written as a sum of positive squares in 2 ways, for example, as 7279506179136 + 2733824151184 = 2698056^2 + 1653428^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10013330330320² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013330330291 and 10013330330300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013330330329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62583314485 + ... + 62583314644.

It is an arithmetic number, because the mean of its divisors is an integer number (1164049650909).

Almost surely, 2^{10013330330320} is an apocalyptic number.

10013330330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013330330320 is an abundant number, since it is smaller than the sum of its proper divisors (13267662687860).

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

10013330330320 is a wasteful number, since it uses less digits than its factorization.

10013330330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125166629142 (or 125166629136 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 10013330330320 its reverse (2303303331001), we get a palindrome (12316633661321).

The spelling of 10013330330320 in words is "ten trillion, thirteen billion, three hundred thirty million, three hundred thirty thousand, three hundred twenty".