1003131102100 has 144 divisors (see below), whose sum is σ = 2205669578112. Its totient is φ = 395981015040.

The previous prime is 1003131102049. The next prime is 1003131102101. The reversal of 1003131102100 is 12011313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003131102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1918032439 + ... + 1918032961.

It is an arithmetic number, because the mean of its divisors is an integer number (15317149848).

Almost surely, 2^{1003131102100} is an apocalyptic number.

1003131102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003131102100 is an abundant number, since it is smaller than the sum of its proper divisors (1202538476012).

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

1003131102100 is a wasteful number, since it uses less digits than its factorization.

1003131102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1003131102100 its reverse (12011313001), we get a palindrome (1015142415101).

The spelling of 1003131102100 in words is "one trillion, three billion, one hundred thirty-one million, one hundred two thousand, one hundred".