101313013012200 has 288 divisors, whose sum is σ = 374241601468800. Its totient is φ = 24560729846400.

The previous prime is 101313013012199. The next prime is 101313013012207. The reversal of 101313013012200 is 2210310313101.

101313013012200 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 0 + 130 + 1 + 220 + 0 = 666.

It is a super-2 number, since 2×101313013012200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101313013012207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18748080 + ... + 23539679.

It is an arithmetic number, because the mean of its divisors is an integer number (1299450005100).

Almost surely, 2^{101313013012200} is an apocalyptic number.

101313013012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313013012200 is an abundant number, since it is smaller than the sum of its proper divisors (272928588456600).

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

101313013012200 is a wasteful number, since it uses less digits than its factorization.

101313013012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42287814 (or 42287780 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101313013012200 its reverse (2210310313101), we get a palindrome (103523323325301).

The spelling of 101313013012200 in words is "one hundred one trillion, three hundred thirteen billion, thirteen million, twelve thousand, two hundred".