1001101303320 has 256 divisors, whose sum is σ = 3350556057600. Its totient is φ = 237803765760.

The previous prime is 1001101303289. The next prime is 1001101303331. The reversal of 1001101303320 is 233031011001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001101303320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42120240 + ... + 42144000.

It is an arithmetic number, because the mean of its divisors is an integer number (13088109600).

Almost surely, 2^{1001101303320} is an apocalyptic number.

1001101303320 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 1001101303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675278028800).

1001101303320 is an abundant number, since it is smaller than the sum of its proper divisors (2349454754280).

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

1001101303320 is a wasteful number, since it uses less digits than its factorization.

1001101303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24898 (or 24894 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1001101303320 its reverse (233031011001), we get a palindrome (1234132314321).

The spelling of 1001101303320 in words is "one trillion, one billion, one hundred one million, three hundred three thousand, three hundred twenty".