1013203312100 has 144 divisors (see below), whose sum is σ = 2585819996928. Its totient is φ = 337318940160.

The previous prime is 1013203312081. The next prime is 1013203312103. The reversal of 1013203312100 is 12133023101.

It is not an unprimeable number, because it can be changed into a prime (1013203312103) 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, 12988814 + ... + 13066586.

It is an arithmetic number, because the mean of its divisors is an integer number (17957083312).

Almost surely, 2^{1013203312100} is an apocalyptic number.

1013203312100 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 1013203312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292909998464).

1013203312100 is an abundant number, since it is smaller than the sum of its proper divisors (1572616684828).

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

1013203312100 is a wasteful number, since it uses less digits than its factorization.

1013203312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78334 (or 78327 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1013203312100 its reverse (12133023101), we get a palindrome (1025336335201).

The spelling of 1013203312100 in words is "one trillion, thirteen billion, two hundred three million, three hundred twelve thousand, one hundred".