113213504000 has 160 divisors (see below), whose sum is σ = 284912456400. Its totient is φ = 44867174400.

The previous prime is 113213503969. The next prime is 113213504029. The reversal of 113213504000 is 405312311.

It can be written as a sum of positive squares in 8 ways, for example, as 35591086336 + 77622417664 = 188656^2 + 278608^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6967886 + ... + 6984114.

Almost surely, 2^113213504000 is an apocalyptic number.

113213504000 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 113213504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142456228200).

113213504000 is an abundant number, since it is smaller than the sum of its proper divisors (171698952400).

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

113213504000 is an equidigital number, since it uses as much as digits as its factorization.

113213504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16371 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 113213504000 its reverse (405312311), we get a palindrome (113618816311).

The spelling of 113213504000 in words is "one hundred thirteen billion, two hundred thirteen million, five hundred four thousand".