1301332033020 has 192 divisors, whose sum is σ = 3820690944000. Its totient is φ = 330502308864.

The previous prime is 1301332032997. The next prime is 1301332033021. The reversal of 1301332033020 is 203302331031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301332033021) 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, 168934489 + ... + 168942191.

It is an arithmetic number, because the mean of its divisors is an integer number (19899432000).

Almost surely, 2^{1301332033020} is an apocalyptic number.

1301332033020 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 1301332033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910345472000).

1301332033020 is an abundant number, since it is smaller than the sum of its proper divisors (2519358910980).

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

1301332033020 is a wasteful number, since it uses less digits than its factorization.

1301332033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1301332033020 its reverse (203302331031), we get a palindrome (1504634364051).

The spelling of 1301332033020 in words is "one trillion, three hundred one billion, three hundred thirty-two million, thirty-three thousand, twenty".