11334031314000 has 320 divisors, whose sum is σ = 37920379011840. Its totient is φ = 2908967577600.

The previous prime is 11334031313987. The next prime is 11334031314019. The reversal of 11334031314000 is 41313043311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 55055259 + ... + 55260741.

It is an arithmetic number, because the mean of its divisors is an integer number (118501184412).

Almost surely, 2^{11334031314000} is an apocalyptic number.

11334031314000 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 11334031314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960189505920).

11334031314000 is an abundant number, since it is smaller than the sum of its proper divisors (26586347697840).

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

11334031314000 is a wasteful number, since it uses less digits than its factorization.

11334031314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205855 (or 205839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11334031314000 its reverse (41313043311), we get a palindrome (11375344357311).

The spelling of 11334031314000 in words is "eleven trillion, three hundred thirty-four billion, thirty-one million, three hundred fourteen thousand".