1011314342000 has 80 divisors (see below), whose sum is σ = 2446060135584. Its totient is φ = 404409600000.

The previous prime is 1011314341981. The next prime is 1011314342029. The reversal of 1011314342000 is 2434131101.

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, 7071200 + ... + 7212800.

Almost surely, 2^{1011314342000} is an apocalyptic number.

1011314342000 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 1011314342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223030067792).

1011314342000 is an abundant number, since it is smaller than the sum of its proper divisors (1434745793584).

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

1011314342000 is a wasteful number, since it uses less digits than its factorization.

1011314342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145195 (or 145179 counting only the distinct ones).

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

Adding to 1011314342000 its reverse (2434131101), we get a palindrome (1013748473101).

The spelling of 1011314342000 in words is "one trillion, eleven billion, three hundred fourteen million, three hundred forty-two thousand".