1013003311000 has 128 divisors (see below), whose sum is σ = 2384760268800. Its totient is φ = 402758716800.

The previous prime is 1013003310961. The next prime is 1013003311009. The reversal of 1013003311000 is 1133003101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013003311009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118572729 + ... + 118581271.

It is an arithmetic number, because the mean of its divisors is an integer number (18630939600).

Almost surely, 2^{1013003311000} is an apocalyptic number.

1013003311000 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 1013003311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192380134400).

1013003311000 is an abundant number, since it is smaller than the sum of its proper divisors (1371756957800).

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

1013003311000 is a wasteful number, since it uses less digits than its factorization.

1013003311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1013003311000 its reverse (1133003101), we get a palindrome (1014136314101).

The spelling of 1013003311000 in words is "one trillion, thirteen billion, three million, three hundred eleven thousand".