1013220213000 has 256 divisors, whose sum is σ = 3455182448640. Its totient is φ = 246094848000.

The previous prime is 1013220212999. The next prime is 1013220213007. The reversal of 1013220213000 is 3120223101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1013220213007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1260564 + ... + 1901436.

It is an arithmetic number, because the mean of its divisors is an integer number (13496806440).

Almost surely, 2^{1013220213000} is an apocalyptic number.

1013220213000 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 1013220213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727591224320).

1013220213000 is an abundant number, since it is smaller than the sum of its proper divisors (2441962235640).

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

1013220213000 is a wasteful number, since it uses less digits than its factorization.

1013220213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640945 (or 640931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1013220213000 its reverse (3120223101), we get a palindrome (1016340436101).

The spelling of 1013220213000 in words is "one trillion, thirteen billion, two hundred twenty million, two hundred thirteen thousand".