1213041314000 has 80 divisors (see below), whose sum is σ = 2933964523776. Its totient is φ = 485079120000.

The previous prime is 1213041313997. The next prime is 1213041314011. The reversal of 1213041314000 is 4131403121.

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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7129925 + ... + 7298075.

Almost surely, 2^{1213041314000} is an apocalyptic number.

1213041314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213041314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466982261888).

1213041314000 is an abundant number, since it is smaller than the sum of its proper divisors (1720923209776).

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

1213041314000 is a wasteful number, since it uses less digits than its factorization.

1213041314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171781 (or 171765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1213041314000 its reverse (4131403121), we get a palindrome (1217172717121).

The spelling of 1213041314000 in words is "one trillion, two hundred thirteen billion, forty-one million, three hundred fourteen thousand".