113021509216 has 384 divisors, whose sum is σ = 296528117760. Its totient is φ = 41126400000.

The previous prime is 113021509201. The next prime is 113021509219. The reversal of 113021509216 is 612905120311.

It is a super-3 number, since 3×113021509216³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113021509219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472893225 + ... + 472893463.

It is an arithmetic number, because the mean of its divisors is an integer number (772208640).

Almost surely, 2^113021509216 is an apocalyptic number.

113021509216 is a gapful number since it is divisible by the number (16) 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 113021509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148264058880).

113021509216 is an abundant number, since it is smaller than the sum of its proper divisors (183506608544).

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

113021509216 is a wasteful number, since it uses less digits than its factorization.

113021509216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

Adding to 113021509216 its reverse (612905120311), we get a palindrome (725926629527).

The spelling of 113021509216 in words is "one hundred thirteen billion, twenty-one million, five hundred nine thousand, two hundred sixteen".