113321302001000 has 128 divisors (see below), whose sum is σ = 273735805224960. Its totient is φ = 43864703424000.

The previous prime is 113321302000997. The next prime is 113321302001099. The reversal of 113321302001000 is 100203123311.

It is a self number, because there is not a number n which added to its sum of digits gives 113321302001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183625132 + ... + 1183720868.

It is an arithmetic number, because the mean of its divisors is an integer number (2138560978320).

Almost surely, 2^{113321302001000} is an apocalyptic number.

113321302001000 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 113321302001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136867902612480).

113321302001000 is an abundant number, since it is smaller than the sum of its proper divisors (160414503223960).

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

113321302001000 is a wasteful number, since it uses less digits than its factorization.

113321302001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133972 (or 133958 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113321302001000 its reverse (100203123311), we get a palindrome (113421505124311).

The spelling of 113321302001000 in words is "one hundred thirteen trillion, three hundred twenty-one billion, three hundred two million, one thousand".