13120120201000 has 64 divisors (see below), whose sum is σ = 30774006441360. Its totient is φ = 5235582240000.

The previous prime is 13120120200977. The next prime is 13120120201003. The reversal of 13120120201000 is 10202102131.

It can be written as a sum of positive squares in 8 ways, for example, as 207532836 + 13119912668164 = 14406^2 + 3622142^2 .

It is a super-3 number, since 3×13120120201000³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13120120201003) 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, 15161091 + ... + 16003090.

Almost surely, 2^{13120120201000} is an apocalyptic number.

13120120201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120120201000 is an abundant number, since it is smaller than the sum of its proper divisors (17653886240360).

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

13120120201000 is a wasteful number, since it uses less digits than its factorization.

13120120201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31164623 (or 31164609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13120120201000 its reverse (10202102131), we get a palindrome (13130322303131).

The spelling of 13120120201000 in words is "thirteen trillion, one hundred twenty billion, one hundred twenty million, two hundred one thousand".