1001013323120 has 80 divisors (see below), whose sum is σ = 2362808749728. Its totient is φ = 394309555200.

The previous prime is 1001013323111. The next prime is 1001013323147. The reversal of 1001013323120 is 213233101001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1001013323120³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18824570 + ... + 18877670.

Almost surely, 2^{1001013323120} is an apocalyptic number.

1001013323120 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 1001013323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181404374864).

1001013323120 is an abundant number, since it is smaller than the sum of its proper divisors (1361795426608).

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

1001013323120 is a wasteful number, since it uses less digits than its factorization.

1001013323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56698 (or 56692 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1001013323120 its reverse (213233101001), we get a palindrome (1214246424121).

The spelling of 1001013323120 in words is "one trillion, one billion, thirteen million, three hundred twenty-three thousand, one hundred twenty".