113100101121000 has 384 divisors, whose sum is σ = 411176655077760. Its totient is φ = 25807837440000.

The previous prime is 113100101120969. The next prime is 113100101121043. The reversal of 113100101121000 is 121101001311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86522275 + ... + 87819725.

It is an arithmetic number, because the mean of its divisors is an integer number (1070772539265).

Almost surely, 2^{113100101121000} is an apocalyptic number.

113100101121000 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 113100101121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205588327538880).

113100101121000 is an abundant number, since it is smaller than the sum of its proper divisors (298076553956760).

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

113100101121000 is a wasteful number, since it uses less digits than its factorization.

113100101121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298082 (or 1298061 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 113100101121000 its reverse (121101001311), we get a palindrome (113221202122311).

The spelling of 113100101121000 in words is "one hundred thirteen trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand".