113434100000 has 144 divisors (see below), whose sum is σ = 300611837736. Its totient is φ = 41882880000.

The previous prime is 113434099979. The next prime is 113434100011. The reversal of 113434100000 is 1434311.

It can be written as a sum of positive squares in 12 ways, for example, as 103830883984 + 9603216016 = 322228^2 + 97996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256372 + ... + 1343628.

Almost surely, 2^113434100000 is an apocalyptic number.

113434100000 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 113434100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150305918868).

113434100000 is an abundant number, since it is smaller than the sum of its proper divisors (187177737736).

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

113434100000 is an frugal number, since it uses more digits than its factorization.

113434100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87305 (or 87277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113434100000 its reverse (1434311), we get a palindrome (113435534311).

The spelling of 113434100000 in words is "one hundred thirteen billion, four hundred thirty-four million, one hundred thousand".