113311510400 has 192 divisors, whose sum is σ = 311863253760. Its totient is φ = 40326912000.

The previous prime is 113311510387. The next prime is 113311510409. The reversal of 113311510400 is 4015113311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311510409) 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 23 ways as a sum of consecutive naturals, for example, 1620155 + ... + 1688645.

It is an arithmetic number, because the mean of its divisors is an integer number (1624287780).

Almost surely, 2^113311510400 is an apocalyptic number.

113311510400 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 113311510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155931626880).

113311510400 is an abundant number, since it is smaller than the sum of its proper divisors (198551743360).

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

113311510400 is a wasteful number, since it uses less digits than its factorization.

113311510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68573 (or 68556 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 113311510400 its reverse (4015113311), we get a palindrome (117326623711).

The spelling of 113311510400 in words is "one hundred thirteen billion, three hundred eleven million, five hundred ten thousand, four hundred".