1010003032000 has 112 divisors (see below), whose sum is σ = 2504426678208. Its totient is φ = 403491763200.

The previous prime is 1010003031997. The next prime is 1010003032001. The reversal of 1010003032000 is 2303000101.

It is a super-2 number, since 2×1010003032000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010003032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6296797 + ... + 6455203.

It is an arithmetic number, because the mean of its divisors is an integer number (22360952484).

Almost surely, 2^{1010003032000} is an apocalyptic number.

1010003032000 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 1010003032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252213339104).

1010003032000 is an abundant number, since it is smaller than the sum of its proper divisors (1494423646208).

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

1010003032000 is an equidigital number, since it uses as much as digits as its factorization.

1010003032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159231 (or 159211 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1010003032000 its reverse (2303000101), we get a palindrome (1012306032101).

The spelling of 1010003032000 in words is "one trillion, ten billion, three million, thirty-two thousand".