1003110102132 has 192 divisors, whose sum is σ = 2558075240448. Its totient is φ = 304694784000.

The previous prime is 1003110102101. The next prime is 1003110102139. The reversal of 1003110102132 is 2312010113001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003110102139) 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 63 ways as a sum of consecutive naturals, for example, 704925573 + ... + 704926995.

It is an arithmetic number, because the mean of its divisors is an integer number (13323308544).

Almost surely, 2^{1003110102132} is an apocalyptic number.

1003110102132 is a gapful number since it is divisible by the number (12) 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 1003110102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279037620224).

1003110102132 is an abundant number, since it is smaller than the sum of its proper divisors (1554965138316).

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

1003110102132 is a wasteful number, since it uses less digits than its factorization.

1003110102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1003110102132 its reverse (2312010113001), we get a palindrome (3315120215133).

The spelling of 1003110102132 in words is "one trillion, three billion, one hundred ten million, one hundred two thousand, one hundred thirty-two".