1001332013000 has 128 divisors (see below), whose sum is σ = 2615573600640. Its totient is φ = 355652640000.

The previous prime is 1001332012979. The next prime is 1001332013029. The reversal of 1001332013000 is 3102331001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585491 + ... + 1531490.

It is an arithmetic number, because the mean of its divisors is an integer number (20434168755).

Almost surely, 2^{1001332013000} is an apocalyptic number.

1001332013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001332013000 is an abundant number, since it is smaller than the sum of its proper divisors (1614241587640).

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

1001332013000 is a wasteful number, since it uses less digits than its factorization.

1001332013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117056 (or 2117042 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1001332013000 its reverse (3102331001), we get a palindrome (1004434344001).

The spelling of 1001332013000 in words is "one trillion, one billion, three hundred thirty-two million, thirteen thousand".