1020201300000 has 432 divisors, whose sum is σ = 3650765961024. Its totient is φ = 270216000000.

The previous prime is 1020201299987. The next prime is 1020201300007. The reversal of 1020201300000 is 31020201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1020201300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135896247 + ... + 135903753.

It is an arithmetic number, because the mean of its divisors is an integer number (8450847132).

Almost surely, 2^{1020201300000} is an apocalyptic number.

1020201300000 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 1020201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825382980512).

1020201300000 is an abundant number, since it is smaller than the sum of its proper divisors (2630564661024).

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

1020201300000 is an equidigital number, since it uses as much as digits as its factorization.

1020201300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7668 counting only the distinct ones).

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

Adding to 1020201300000 its reverse (31020201), we get a palindrome (1020232320201).

It can be divided in two parts, 1020201 and 300000, that added together give a square (1320201 = 1149²).

The spelling of 1020201300000 in words is "one trillion, twenty billion, two hundred one million, three hundred thousand".