1010003132000 has 96 divisors (see below), whose sum is σ = 2482412927904. Its totient is φ = 403865280000.

The previous prime is 1010003131999. The next prime is 1010003132023. The reversal of 1010003132000 is 2313000101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12291050 + ... + 12372950.

It is an arithmetic number, because the mean of its divisors is an integer number (25858467999).

Almost surely, 2^{1010003132000} is an apocalyptic number.

1010003132000 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 1010003132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241206463952).

1010003132000 is an abundant number, since it is smaller than the sum of its proper divisors (1472409795904).

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

1010003132000 is an equidigital number, since it uses as much as digits as its factorization.

1010003132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85009 (or 84991 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1010003132000 its reverse (2313000101), we get a palindrome (1012316132101).

The spelling of 1010003132000 in words is "one trillion, ten billion, three million, one hundred thirty-two thousand".