101312233333200 has 90 divisors (see below), whose sum is σ = 351581591965734. Its totient is φ = 27016595554560.

The previous prime is 101312233333139. The next prime is 101312233333217. The reversal of 101312233333200 is 2333332213101.

101312233333200 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 2 + 2 + 3 + 333 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32682076646976 + 68630156686224 = 5716824^2 + 8284332^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×101312233333200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 14071139919 + ... + 14071147118.

Almost surely, 2^{101312233333200} is an apocalyptic number.

101312233333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312233333200 is an abundant number, since it is smaller than the sum of its proper divisors (250269358632534).

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

101312233333200 is a wasteful number, since it uses less digits than its factorization.

101312233333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28142287061 (or 28142287047 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 101312233333200 its reverse (2333332213101), we get a palindrome (103645565546301).

The spelling of 101312233333200 in words is "one hundred one trillion, three hundred twelve billion, two hundred thirty-three million, three hundred thirty-three thousand, two hundred".