10305141363320 has 32 divisors (see below), whose sum is σ = 23198921229600. Its totient is φ = 4119860427648.

The previous prime is 10305141363311. The next prime is 10305141363329. The reversal of 10305141363320 is 2336314150301.

10305141363320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10305141363311) and next prime (10305141363329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305141363329) 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, 68552660 + ... + 68702819.

It is an arithmetic number, because the mean of its divisors is an integer number (724966288425).

Almost surely, 2^{10305141363320} is an apocalyptic number.

10305141363320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305141363320 is an abundant number, since it is smaller than the sum of its proper divisors (12893779866280).

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

10305141363320 is a wasteful number, since it uses less digits than its factorization.

10305141363320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137257367 (or 137257363 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 10305141363320 in words is "ten trillion, three hundred five billion, one hundred forty-one million, three hundred sixty-three thousand, three hundred twenty".