113203311000 has 512 divisors, whose sum is σ = 402743577600. Its totient is φ = 26243481600.

The previous prime is 113203310993. The next prime is 113203311007. The reversal of 113203311000 is 113302311.

It is an interprime number because it is at equal distance from previous prime (113203310993) and next prime (113203311007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113203311007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168206664 + ... + 168207336.

It is an arithmetic number, because the mean of its divisors is an integer number (786608550).

Almost surely, 2^113203311000 is an apocalyptic number.

113203311000 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 113203311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201371788800).

113203311000 is an abundant number, since it is smaller than the sum of its proper divisors (289540266600).

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

113203311000 is a wasteful number, since it uses less digits than its factorization.

113203311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113203311000 its reverse (113302311), we get a palindrome (113316613311).

The spelling of 113203311000 in words is "one hundred thirteen billion, two hundred three million, three hundred eleven thousand".