101313011200 has 60 divisors (see below), whose sum is σ = 251010932040. Its totient is φ = 40525199360.

The previous prime is 101313011171. The next prime is 101313011207. The reversal of 101313011200 is 2110313101.

It is a super-2 number, since 2×101313011200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3944740 + ... + 3970339.

It is an arithmetic number, because the mean of its divisors is an integer number (4183515534).

Almost surely, 2^101313011200 is an apocalyptic number.

101313011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313011200 is an abundant number, since it is smaller than the sum of its proper divisors (149697920840).

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

101313011200 is an frugal number, since it uses more digits than its factorization.

101313011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915107 (or 7915086 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101313011200 its reverse (2110313101), we get a palindrome (103423324301).

The spelling of 101313011200 in words is "one hundred one billion, three hundred thirteen million, eleven thousand, two hundred".