13002001322100 has 72 divisors (see below), whose sum is σ = 42993284378688. Its totient is φ = 2971886016000.

The previous prime is 13002001322087. The next prime is 13002001322119. The reversal of 13002001322100 is 122310020031.

13002001322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13002001322100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095712501 + ... + 3095716700.

It is an arithmetic number, because the mean of its divisors is an integer number (597128949704).

Almost surely, 2^{13002001322100} is an apocalyptic number.

13002001322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002001322100 is an abundant number, since it is smaller than the sum of its proper divisors (29991283056588).

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

13002001322100 is a wasteful number, since it uses less digits than its factorization.

13002001322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191429225 (or 6191429218 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13002001322100 its reverse (122310020031), we get a palindrome (13124311342131).

The spelling of 13002001322100 in words is "thirteen trillion, two billion, one million, three hundred twenty-two thousand, one hundred".