312101141340300 has 144 divisors (see below), whose sum is σ = 982103614074912. Its totient is φ = 76064253696000.

The previous prime is 312101141340299. The next prime is 312101141340319. The reversal of 312101141340300 is 3043141101213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395774089 + ... + 396561888.

Almost surely, 2^{312101141340300} is an apocalyptic number.

312101141340300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312101141340300 is an abundant number, since it is smaller than the sum of its proper divisors (670002472734612).

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

312101141340300 is a wasteful number, since it uses less digits than its factorization.

312101141340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792336108 (or 792336101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312101141340300 its reverse (3043141101213), we get a palindrome (315144282441513).

The spelling of 312101141340300 in words is "three hundred twelve trillion, one hundred one billion, one hundred forty-one million, three hundred forty thousand, three hundred".