1013331110000 has 200 divisors, whose sum is σ = 2686663292544. Its totient is φ = 367072480000.

The previous prime is 1013331109969. The next prime is 1013331110009. The reversal of 1013331110000 is 111333101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013331110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28912487 + ... + 28947513.

Almost surely, 2^{1013331110000} is an apocalyptic number.

1013331110000 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 1013331110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343331646272).

1013331110000 is an abundant number, since it is smaller than the sum of its proper divisors (1673332182544).

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

1013331110000 is a wasteful number, since it uses less digits than its factorization.

1013331110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35329 (or 35308 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1013331110000 its reverse (111333101), we get a palindrome (1013442443101).

The spelling of 1013331110000 in words is "one trillion, thirteen billion, three hundred thirty-one million, one hundred ten thousand".