13200101131000 has 384 divisors, whose sum is σ = 36179179882560. Its totient is φ = 4494615552000.

The previous prime is 13200101130959. The next prime is 13200101131003. The reversal of 13200101131000 is 13110100231.

It is a super-2 number, since 2×13200101131000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200101131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6131025924 + ... + 6131028076.

Almost surely, 2^{13200101131000} is an apocalyptic number.

13200101131000 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 13200101131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089589941280).

13200101131000 is an abundant number, since it is smaller than the sum of its proper divisors (22979078751560).

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

13200101131000 is a wasteful number, since it uses less digits than its factorization.

13200101131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13200101131000 its reverse (13110100231), we get a palindrome (13213211231231).

The spelling of 13200101131000 in words is "thirteen trillion, two hundred billion, one hundred one million, one hundred thirty-one thousand".