10220432313300 has 288 divisors, whose sum is σ = 32725145456640. Its totient is φ = 2441958681600.

The previous prime is 10220432313167. The next prime is 10220432313307. The reversal of 10220432313300 is 331323402201.

10220432313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220432313307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346640359 + ... + 346669841.

It is an arithmetic number, because the mean of its divisors is an integer number (113628977280).

Almost surely, 2^{10220432313300} is an apocalyptic number.

10220432313300 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 10220432313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362572728320).

10220432313300 is an abundant number, since it is smaller than the sum of its proper divisors (22504713143340).

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

10220432313300 is a wasteful number, since it uses less digits than its factorization.

10220432313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31023 (or 31016 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10220432313300 its reverse (331323402201), we get a palindrome (10551755715501).

The spelling of 10220432313300 in words is "ten trillion, two hundred twenty billion, four hundred thirty-two million, three hundred thirteen thousand, three hundred".