1233113070000 has 400 divisors, whose sum is σ = 4565613536000. Its totient is φ = 280844928000.

The previous prime is 1233113069989. The next prime is 1233113070001. The reversal of 1233113070000 is 703113321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1233113070001) 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 79 ways as a sum of consecutive naturals, for example, 59419626 + ... + 59440374.

It is an arithmetic number, because the mean of its divisors is an integer number (11414033840).

Almost surely, 2^{1233113070000} is an apocalyptic number.

1233113070000 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 1233113070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282806768000).

1233113070000 is an abundant number, since it is smaller than the sum of its proper divisors (3332500466000).

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

1233113070000 is a wasteful number, since it uses less digits than its factorization.

1233113070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21070 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

Adding to 1233113070000 its reverse (703113321), we get a palindrome (1233816183321).

The spelling of 1233113070000 in words is "one trillion, two hundred thirty-three billion, one hundred thirteen million, seventy thousand".