113143321011504 has 320 divisors, whose sum is σ = 338037255659520. Its totient is φ = 31941435801600.

The previous prime is 113143321011493. The next prime is 113143321011517. The reversal of 113143321011504 is 405110123341311.

It is a happy number.

It is a super-2 number, since 2×113143321011504² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60407538312 + ... + 60407540184.

It is an arithmetic number, because the mean of its divisors is an integer number (1056366423936).

Almost surely, 2^{113143321011504} is an apocalyptic number.

113143321011504 is a gapful number since it is divisible by the number (14) 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 113143321011504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169018627829760).

113143321011504 is an abundant number, since it is smaller than the sum of its proper divisors (224893934648016).

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

113143321011504 is a wasteful number, since it uses less digits than its factorization.

113143321011504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 113143321011504 its reverse (405110123341311), we get a palindrome (518253444352815).

The spelling of 113143321011504 in words is "one hundred thirteen trillion, one hundred forty-three billion, three hundred twenty-one million, eleven thousand, five hundred four".