1013020200000 has 252 divisors, whose sum is σ = 3629323528740. Its totient is φ = 270138240000.

The previous prime is 1013020199981. The next prime is 1013020200047. The reversal of 1013020200000 is 20203101.

It is a happy number.

1013020200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 491019729984 + 522000470016 = 700728^2 + 722496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1518606 + ... + 2081394.

It is an arithmetic number, because the mean of its divisors is an integer number (14402077495).

Almost surely, 2^{1013020200000} is an apocalyptic number.

1013020200000 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 1013020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814661764370).

1013020200000 is an abundant number, since it is smaller than the sum of its proper divisors (2616303328740).

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

1013020200000 is an frugal number, since it uses more digits than its factorization.

1013020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562832 (or 562799 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1013020200000 its reverse (20203101), we get a palindrome (1013040403101).

The spelling of 1013020200000 in words is "one trillion, thirteen billion, twenty million, two hundred thousand".