10323201311200 has 144 divisors (see below), whose sum is σ = 26534331537840. Its totient is φ = 3911003136000.

The previous prime is 10323201311173. The next prime is 10323201311207. The reversal of 10323201311200 is 211310232301.

10323201311200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10323201311200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323201311207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64383130 + ... + 64543270.

It is an arithmetic number, because the mean of its divisors is an integer number (184266191235).

Almost surely, 2^{10323201311200} is an apocalyptic number.

10323201311200 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 10323201311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267165768920).

10323201311200 is an abundant number, since it is smaller than the sum of its proper divisors (16211130226640).

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

10323201311200 is a wasteful number, since it uses less digits than its factorization.

10323201311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164421 (or 164408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10323201311200 its reverse (211310232301), we get a palindrome (10534511543501).

The spelling of 10323201311200 in words is "ten trillion, three hundred twenty-three billion, two hundred one million, three hundred eleven thousand, two hundred".