1013310200100 has 144 divisors (see below), whose sum is σ = 3203650953216. Its totient is φ = 245245776000.

The previous prime is 1013310200099. The next prime is 1013310200153. The reversal of 1013310200100 is 10020133101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750165 + ... + 2256035.

It is an arithmetic number, because the mean of its divisors is an integer number (22247576064).

Almost surely, 2^{1013310200100} is an apocalyptic number.

1013310200100 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 1013310200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601825476608).

1013310200100 is an abundant number, since it is smaller than the sum of its proper divisors (2190340753116).

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

1013310200100 is a wasteful number, since it uses less digits than its factorization.

1013310200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506506 (or 506499 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1013310200100 its reverse (10020133101), we get a palindrome (1023330333201).

The spelling of 1013310200100 in words is "one trillion, thirteen billion, three hundred ten million, two hundred thousand, one hundred".