1001013301332 has 192 divisors, whose sum is σ = 2900645959680. Its totient is φ = 295979443200.

The previous prime is 1001013301331. The next prime is 1001013301339. The reversal of 1001013301332 is 2331033101001.

It is a happy number.

1001013301332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 330 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001013301331) 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, 8120583 + ... + 8242929.

It is an arithmetic number, because the mean of its divisors is an integer number (15107531040).

Almost surely, 2^{1001013301332} is an apocalyptic number.

1001013301332 is a gapful number since it is divisible by the number (12) 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 1001013301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450322979840).

1001013301332 is an abundant number, since it is smaller than the sum of its proper divisors (1899632658348).

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

1001013301332 is a wasteful number, since it uses less digits than its factorization.

1001013301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122539 (or 122531 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1001013301332 its reverse (2331033101001), we get a palindrome (3332046402333).

The spelling of 1001013301332 in words is "one trillion, one billion, thirteen million, three hundred one thousand, three hundred thirty-two".