13131103021200 has 180 divisors, whose sum is σ = 45618827342608. Its totient is φ = 3497765932800.

The previous prime is 13131103021193. The next prime is 13131103021207. The reversal of 13131103021200 is 212030113131.

13131103021200 is a `hidden beast` number, since 1 + 31 + 311 + 0 + 302 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13131103021193) and next prime (13131103021207).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13131103021207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1254435 + ... + 5275965.

Almost surely, 2^{13131103021200} is an apocalyptic number.

13131103021200 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 13131103021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809413671304).

13131103021200 is an abundant number, since it is smaller than the sum of its proper divisors (32487724321408).

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

13131103021200 is a wasteful number, since it uses less digits than its factorization.

13131103021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022462 (or 4022448 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131103021200 its reverse (212030113131), we get a palindrome (13343133134331).

The spelling of 13131103021200 in words is "thirteen trillion, one hundred thirty-one billion, one hundred three million, twenty-one thousand, two hundred".