13012100332000 has 576 divisors, whose sum is σ = 41880360517632. Its totient is φ = 3924869760000.

The previous prime is 13012100331949. The next prime is 13012100332009. The reversal of 13012100332000 is 23300121031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012100332009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66738657 + ... + 66933343.

It is an arithmetic number, because the mean of its divisors is an integer number (72708959232).

Almost surely, 2^{13012100332000} is an apocalyptic number.

13012100332000 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 13012100332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940180258816).

13012100332000 is an abundant number, since it is smaller than the sum of its proper divisors (28868260185632).

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

13012100332000 is a wasteful number, since it uses less digits than its factorization.

13012100332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194768 (or 194743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13012100332000 its reverse (23300121031), we get a palindrome (13035400453031).

The spelling of 13012100332000 in words is "thirteen trillion, twelve billion, one hundred million, three hundred thirty-two thousand".