100313100013200 has 240 divisors, whose sum is σ = 341409945150720. Its totient is φ = 25105412712960.

The previous prime is 100313100013073. The next prime is 100313100013201. The reversal of 100313100013200 is 2310001313001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100313100013200.

It is not an unprimeable number, because it can be changed into a prime (100313100013201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18119734 + ... + 22998933.

It is an arithmetic number, because the mean of its divisors is an integer number (1422541438128).

Almost surely, 2^{100313100013200} is an apocalyptic number.

100313100013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100313100013200 is an abundant number, since it is smaller than the sum of its proper divisors (241096845137520).

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

100313100013200 is a wasteful number, since it uses less digits than its factorization.

100313100013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41118814 (or 41118803 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100313100013200 its reverse (2310001313001), we get a palindrome (102623101326201).

The spelling of 100313100013200 in words is "one hundred trillion, three hundred thirteen billion, one hundred million, thirteen thousand, two hundred".