1013434442100 has 108 divisors (see below), whose sum is σ = 3179080588320. Its totient is φ = 270034228800.

The previous prime is 1013434442089. The next prime is 1013434442107. The reversal of 1013434442100 is 12444343101.

1013434442100 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 3 + 444 + 210 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013434442107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 685905 + ... + 1580295.

Almost surely, 2^{1013434442100} is an apocalyptic number.

1013434442100 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 1013434442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589540294160).

1013434442100 is an abundant number, since it is smaller than the sum of its proper divisors (2165646146220).

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

1013434442100 is a wasteful number, since it uses less digits than its factorization.

1013434442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895670 (or 895660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1013434442100 its reverse (12444343101), we get a palindrome (1025878785201).

The spelling of 1013434442100 in words is "one trillion, thirteen billion, four hundred thirty-four million, four hundred forty-two thousand, one hundred".