101313203121300 has 72 divisors (see below), whose sum is σ = 293134075843392. Its totient is φ = 27016742816000.

The previous prime is 101313203121287. The next prime is 101313203121307. The reversal of 101313203121300 is 3121302313101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313203121307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93369880 + ... + 94448720.

It is an arithmetic number, because the mean of its divisors is an integer number (4071306608936).

Almost surely, 2^{101313203121300} is an apocalyptic number.

101313203121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313203121300 is an abundant number, since it is smaller than the sum of its proper divisors (191820872722092).

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

101313203121300 is a wasteful number, since it uses less digits than its factorization.

101313203121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391889 (or 1391882 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101313203121300 its reverse (3121302313101), we get a palindrome (104434505434401).

The spelling of 101313203121300 in words is "one hundred one trillion, three hundred thirteen billion, two hundred three million, one hundred twenty-one thousand, three hundred".