1301021020 has 144 divisors (see below), whose sum is σ = 3138960384. Its totient is φ = 449971200.

The previous prime is 1301021011. The next prime is 1301021021. The reversal of 1301021020 is 201201031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1301020988 and 1301021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301021021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10244197 + ... + 10244323.

It is an arithmetic number, because the mean of its divisors is an integer number (21798336).

Almost surely, 2^1301021020 is an apocalyptic number.

1301021020 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 1301021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569480192).

1301021020 is an abundant number, since it is smaller than the sum of its proper divisors (1837939364).

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

1301021020 is a wasteful number, since it uses less digits than its factorization.

1301021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1301021020 is about 36069.6689754702. The cubic root of 1301021020 is about 1091.6785349473.

Adding to 1301021020 its reverse (201201031), we get a palindrome (1502222051).

The spelling of 1301021020 in words is "one billion, three hundred one million, twenty-one thousand, twenty".