1013311343000 has 256 divisors, whose sum is σ = 2608846755840. Its totient is φ = 365336256000.

The previous prime is 1013311342991. The next prime is 1013311343017. The reversal of 1013311343000 is 3431133101.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231240589 + ... + 1231241411.

It is an arithmetic number, because the mean of its divisors is an integer number (10190807640).

Almost surely, 2^{1013311343000} is an apocalyptic number.

1013311343000 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 1013311343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304423377920).

1013311343000 is an abundant number, since it is smaller than the sum of its proper divisors (1595535412840).

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

1013311343000 is a wasteful number, since it uses less digits than its factorization.

1013311343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1013311343000 its reverse (3431133101), we get a palindrome (1016742476101).

The spelling of 1013311343000 in words is "one trillion, thirteen billion, three hundred eleven million, three hundred forty-three thousand".