1001213032000 has 224 divisors, whose sum is σ = 2572964469504. Its totient is φ = 385652736000.

The previous prime is 1001213031989. The next prime is 1001213032007. The reversal of 1001213032000 is 2303121001.

It is not an unprimeable number, because it can be changed into a prime (1001213032007) by changing a digit.

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, 24403504 + ... + 24444496.

Almost surely, 2^{1001213032000} is an apocalyptic number.

1001213032000 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 1001213032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286482234752).

1001213032000 is an abundant number, since it is smaller than the sum of its proper divisors (1571751437504).

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

1001213032000 is an equidigital number, since it uses as much as digits as its factorization.

1001213032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41134 (or 41114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1001213032000 its reverse (2303121001), we get a palindrome (1003516153001).

The spelling of 1001213032000 in words is "one trillion, one billion, two hundred thirteen million, thirty-two thousand".