113322131414000 has 160 divisors (see below), whose sum is σ = 288492691119360. Its totient is φ = 42934481568000.

The previous prime is 113322131413973. The next prime is 113322131414027. The reversal of 113322131414000 is 414131223311.

It is an interprime number because it is at equal distance from previous prime (113322131413973) and next prime (113322131414027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190120439 + ... + 190715561.

It is an arithmetic number, because the mean of its divisors is an integer number (1803079319496).

Almost surely, 2^{113322131414000} is an apocalyptic number.

113322131414000 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 113322131414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144246345559680).

113322131414000 is an abundant number, since it is smaller than the sum of its proper divisors (175170559705360).

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

113322131414000 is a wasteful number, since it uses less digits than its factorization.

113322131414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600176 (or 600160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 113322131414000 its reverse (414131223311), we get a palindrome (113736262637311).

The spelling of 113322131414000 in words is "one hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, four hundred fourteen thousand".