113402214213120 has 240 divisors, whose sum is σ = 448850014572960. Its totient is φ = 25920506068992.

The previous prime is 113402214213107. The next prime is 113402214213137. The reversal of 113402214213120 is 21312412204311.

113402214213120 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 0 + 221 + 421 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351408085 + ... + 351730644.

It is an arithmetic number, because the mean of its divisors is an integer number (1870208394054).

Almost surely, 2^{113402214213120} is an apocalyptic number.

113402214213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113402214213120 is an abundant number, since it is smaller than the sum of its proper divisors (335447800359840).

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

113402214213120 is an equidigital number, since it uses as much as digits as its factorization.

113402214213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703138765 (or 703138746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 113402214213120 its reverse (21312412204311), we get a palindrome (134714626417431).

The spelling of 113402214213120 in words is "one hundred thirteen trillion, four hundred two billion, two hundred fourteen million, two hundred thirteen thousand, one hundred twenty".