1001113020000 has 300 divisors, whose sum is σ = 3679135234236. Its totient is φ = 266963040000.

The previous prime is 1001113019981. The next prime is 1001113020029. The reversal of 1001113020000 is 203111001.

1001113020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×1001113020000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1311015 + ... + 1928985.

Almost surely, 2^{1001113020000} is an apocalyptic number.

1001113020000 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 1001113020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839567617118).

1001113020000 is an abundant number, since it is smaller than the sum of its proper divisors (2678022214236).

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

1001113020000 is an frugal number, since it uses more digits than its factorization.

1001113020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618013 (or 617981 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001113020000 its reverse (203111001), we get a palindrome (1001316131001).

The spelling of 1001113020000 in words is "one trillion, one billion, one hundred thirteen million, twenty thousand".