1014111332000 has 384 divisors, whose sum is σ = 2737794608640. Its totient is φ = 366922137600.

The previous prime is 1014111331991. The next prime is 1014111332041. The reversal of 1014111332000 is 2331114101.

It is a self number, because there is not a number n which added to its sum of digits gives 1014111332000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539707061 + ... + 539708939.

It is an arithmetic number, because the mean of its divisors is an integer number (7129673460).

Almost surely, 2^{1014111332000} is an apocalyptic number.

1014111332000 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 1014111332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368897304320).

1014111332000 is an abundant number, since it is smaller than the sum of its proper divisors (1723683276640).

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

1014111332000 is a wasteful number, since it uses less digits than its factorization.

1014111332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1014111332000 its reverse (2331114101), we get a palindrome (1016442446101).

The spelling of 1014111332000 in words is "one trillion, fourteen billion, one hundred eleven million, three hundred thirty-two thousand".