314103141022000 has 80 divisors (see below), whose sum is σ = 828546976412064. Its totient is φ = 114219324000000.

The previous prime is 314103141021941. The next prime is 314103141022007. The reversal of 314103141022000 is 220141301413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (314103141022007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7138685751 + ... + 7138729750.

Almost surely, 2^{314103141022000} is an apocalyptic number.

It is an amenable number.

314103141022000 is an abundant number, since it is smaller than the sum of its proper divisors (514443835390064).

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

314103141022000 is a wasteful number, since it uses less digits than its factorization.

314103141022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14277415535 (or 14277415519 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 314103141022000 its reverse (220141301413), we get a palindrome (314323282323413).

The spelling of 314103141022000 in words is "three hundred fourteen trillion, one hundred three billion, one hundred forty-one million, twenty-two thousand".