13102211112300 has 216 divisors, whose sum is σ = 41149473202656. Its totient is φ = 3487010042880.

The previous prime is 13102211112299. The next prime is 13102211112343. The reversal of 13102211112300 is 321111220131.

13102211112300 is a `hidden beast` number, since 1 + 31 + 0 + 221 + 1 + 112 + 300 = 666.

It is a super-2 number, since 2×13102211112300² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1604282817 + ... + 1604290983.

Almost surely, 2^{13102211112300} is an apocalyptic number.

13102211112300 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 13102211112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574736601328).

13102211112300 is an abundant number, since it is smaller than the sum of its proper divisors (28047262090356).

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

13102211112300 is a wasteful number, since it uses less digits than its factorization.

13102211112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11497 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13102211112300 its reverse (321111220131), we get a palindrome (13423322332431).

The spelling of 13102211112300 in words is "thirteen trillion, one hundred two billion, two hundred eleven million, one hundred twelve thousand, three hundred".