1003132132110 has 128 divisors (see below), whose sum is σ = 2742327705600. Its totient is φ = 264115346976.

The previous prime is 1003132132097. The next prime is 1003132132117. The reversal of 1003132132110 is 112312313001.

1003132132110 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 21 + 321 + 10 = 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 (1003132132117) 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, 1437427 + ... + 2018033.

It is an arithmetic number, because the mean of its divisors is an integer number (21424435200).

Almost surely, 2^{1003132132110} is an apocalyptic number.

1003132132110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003132132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371163852800).

1003132132110 is an abundant number, since it is smaller than the sum of its proper divisors (1739195573490).

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

1003132132110 is an frugal number, since it uses more digits than its factorization.

1003132132110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580714 (or 580696 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1003132132110 its reverse (112312313001), we get a palindrome (1115444445111).

The spelling of 1003132132110 in words is "one trillion, three billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred ten".