113541120000 has 1140 divisors, whose sum is σ = 511016247456. Its totient is φ = 23592960000.

The previous prime is 113541119981. The next prime is 113541120031. The reversal of 113541120000 is 21145311.

113541120000 is a `hidden beast` number, since 1 + 1 + 3 + 541 + 120 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10321919995 + ... + 10321920005.

Almost surely, 2^113541120000 is an apocalyptic number.

113541120000 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 113541120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255508123728).

113541120000 is an abundant number, since it is smaller than the sum of its proper divisors (397475127456).

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

113541120000 is an frugal number, since it uses more digits than its factorization.

113541120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 113541120000 its reverse (21145311), we get a palindrome (113562265311).

The spelling of 113541120000 in words is "one hundred thirteen billion, five hundred forty-one million, one hundred twenty thousand".