113213022312000 has 448 divisors, whose sum is σ = 411948009817344. Its totient is φ = 27219728793600.

The previous prime is 113213022311993. The next prime is 113213022312001. The reversal of 113213022312000 is 213220312311.

It is not an unprimeable number, because it can be changed into a prime (113213022312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9196672 + ... + 17635328.

It is an arithmetic number, because the mean of its divisors is an integer number (919526807628).

Almost surely, 2^{113213022312000} is an apocalyptic number.

113213022312000 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 113213022312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205974004908672).

113213022312000 is an abundant number, since it is smaller than the sum of its proper divisors (298734987505344).

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

113213022312000 is a wasteful number, since it uses less digits than its factorization.

113213022312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438743 (or 8438723 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113213022312000 its reverse (213220312311), we get a palindrome (113426242624311).

The spelling of 113213022312000 in words is "one hundred thirteen trillion, two hundred thirteen billion, twenty-two million, three hundred twelve thousand".