100313432320200 has 384 divisors, whose sum is σ = 342704986905600. Its totient is φ = 24070296960000.

The previous prime is 100313432320169. The next prime is 100313432320207. The reversal of 100313432320200 is 2023234313001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100313432320207) 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, 2372408259 + ... + 2372450541.

It is an arithmetic number, because the mean of its divisors is an integer number (892460903400).

Almost surely, 2^{100313432320200} is an apocalyptic number.

100313432320200 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 100313432320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171352493452800).

100313432320200 is an abundant number, since it is smaller than the sum of its proper divisors (242391554585400).

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

100313432320200 is a wasteful number, since it uses less digits than its factorization.

100313432320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45973 (or 45964 counting only the distinct ones).

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

Adding to 100313432320200 its reverse (2023234313001), we get a palindrome (102336666633201).

The spelling of 100313432320200 in words is "one hundred trillion, three hundred thirteen billion, four hundred thirty-two million, three hundred twenty thousand, two hundred".