13011101212200 has 576 divisors, whose sum is σ = 50580403272000. Its totient is φ = 2742397378560.

The previous prime is 13011101212189. The next prime is 13011101212231. The reversal of 13011101212200 is 221210111031.

It is a super-2 number, since 2×13011101212200² (a number of 27 digits) contains 22 as substring.

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 13011101212200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 385622931 + ... + 385656669.

It is an arithmetic number, because the mean of its divisors is an integer number (87813200125).

Almost surely, 2^{13011101212200} is an apocalyptic number.

13011101212200 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 13011101212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25290201636000).

13011101212200 is an abundant number, since it is smaller than the sum of its proper divisors (37569302059800).

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

13011101212200 is a wasteful number, since it uses less digits than its factorization.

13011101212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34794 (or 34778 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13011101212200 its reverse (221210111031), we get a palindrome (13232311323231).

The spelling of 13011101212200 in words is "thirteen trillion, eleven billion, one hundred one million, two hundred twelve thousand, two hundred".