13011133222032 has 80 divisors (see below), whose sum is σ = 36726977061120. Its totient is φ = 3936397968000.

The previous prime is 13011133221997. The next prime is 13011133222037. The reversal of 13011133222032 is 23022233111031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13011133221993 and 13011133222011.

It is not an unprimeable number, because it can be changed into a prime (13011133222037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19578094 + ... + 20231757.

It is an arithmetic number, because the mean of its divisors is an integer number (459087213264).

Almost surely, 2^{13011133222032} is an apocalyptic number.

13011133222032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13011133222032 is an abundant number, since it is smaller than the sum of its proper divisors (23715843839088).

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

13011133222032 is a wasteful number, since it uses less digits than its factorization.

13011133222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39810492 (or 39810486 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13011133222032 its reverse (23022233111031), we get a palindrome (36033366333063).

The spelling of 13011133222032 in words is "thirteen trillion, eleven billion, one hundred thirty-three million, two hundred twenty-two thousand, thirty-two".