10324012314300 has 144 divisors (see below), whose sum is σ = 30842839931904. Its totient is φ = 2663530560000.

The previous prime is 10324012314247. The next prime is 10324012314353. The reversal of 10324012314300 is 341321042301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10324012314247) and next prime (10324012314353).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34175920 + ... + 34476680.

It is an arithmetic number, because the mean of its divisors is an integer number (214186388416).

Almost surely, 2^{10324012314300} is an apocalyptic number.

10324012314300 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 10324012314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15421419965952).

10324012314300 is an abundant number, since it is smaller than the sum of its proper divisors (20518827617604).

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

10324012314300 is a wasteful number, since it uses less digits than its factorization.

10324012314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304500 (or 304493 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10324012314300 its reverse (341321042301), we get a palindrome (10665333356601).

The spelling of 10324012314300 in words is "ten trillion, three hundred twenty-four billion, twelve million, three hundred fourteen thousand, three hundred".