13011210122300 has 144 divisors (see below), whose sum is σ = 30835721095872. Its totient is φ = 4736330496000.

The previous prime is 13011210122299. The next prime is 13011210122303. The reversal of 13011210122300 is 322101211031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011210122303) 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 47 ways as a sum of consecutive naturals, for example, 235039625 + ... + 235094975.

Almost surely, 2^{13011210122300} is an apocalyptic number.

13011210122300 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 13011210122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417860547936).

13011210122300 is an abundant number, since it is smaller than the sum of its proper divisors (17824510973572).

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

13011210122300 is a wasteful number, since it uses less digits than its factorization.

13011210122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57928 (or 57921 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13011210122300 its reverse (322101211031), we get a palindrome (13333311333331).

The spelling of 13011210122300 in words is "thirteen trillion, eleven billion, two hundred ten million, one hundred twenty-two thousand, three hundred".