312333204240100 has 18 divisors (see below), whose sum is σ = 677763053201234. Its totient is φ = 124933281696000.

The previous prime is 312333204240097. The next prime is 312333204240143. The reversal of 312333204240100 is 1042402333213.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18549422065216 + 293783782174884 = 4306904^2 + 17140122^2 .

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 5 ways as a sum of consecutive naturals, for example, 1561666021101 + ... + 1561666021300.

Almost surely, 2^{312333204240100} is an apocalyptic number.

It is an amenable number.

312333204240100 is an abundant number, since it is smaller than the sum of its proper divisors (365429848961134).

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

312333204240100 is a wasteful number, since it uses less digits than its factorization.

312333204240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123332042415 (or 3123332042408 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312333204240100 its reverse (1042402333213), we get a palindrome (313375606573313).

The spelling of 312333204240100 in words is "three hundred twelve trillion, three hundred thirty-three billion, two hundred four million, two hundred forty thousand, one hundred".