113233001211330 has 1536 divisors, whose sum is σ = 404039849213952. Its totient is φ = 19556129894400.

The previous prime is 113233001211313. The next prime is 113233001211371. The reversal of 113233001211330 is 33112100332311.

It is a super-2 number, since 2×113233001211330² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113233001211330.

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 767 ways as a sum of consecutive naturals, for example, 29312190979 + ... + 29312194841.

It is an arithmetic number, because the mean of its divisors is an integer number (263046776832).

Almost surely, 2^{113233001211330} is an apocalyptic number.

113233001211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113233001211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202019924606976).

113233001211330 is an abundant number, since it is smaller than the sum of its proper divisors (290806848002622).

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

113233001211330 is a wasteful number, since it uses less digits than its factorization.

113233001211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 113233001211330 its reverse (33112100332311), we get a palindrome (146345101543641).

The spelling of 113233001211330 in words is "one hundred thirteen trillion, two hundred thirty-three billion, one million, two hundred eleven thousand, three hundred thirty".