13012020012000 has 96 divisors (see below), whose sum is σ = 42627377598624. Its totient is φ = 3469872000000.

The previous prime is 13012020011933. The next prime is 13012020012001. The reversal of 13012020012000 is 21002021031.

13012020012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012020012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542155501 + ... + 542179500.

It is an arithmetic number, because the mean of its divisors is an integer number (444035183319).

Almost surely, 2^{13012020012000} is an apocalyptic number.

13012020012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13012020012000 is an abundant number, since it is smaller than the sum of its proper divisors (29615357586624).

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

13012020012000 is a wasteful number, since it uses less digits than its factorization.

13012020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084335029 (or 1084335011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13012020012000 its reverse (21002021031), we get a palindrome (13033022033031).

The spelling of 13012020012000 in words is "thirteen trillion, twelve billion, twenty million, twelve thousand".