13113211212000 has 288 divisors, whose sum is σ = 46598021686944. Its totient is φ = 3492405504000.

The previous prime is 13113211211993. The next prime is 13113211212011. The reversal of 13113211212000 is 21211231131.

13113211212000 is a `hidden beast` number, since 1 + 311 + 32 + 1 + 121 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28100580 + ... + 28563420.

It is an arithmetic number, because the mean of its divisors is an integer number (161798686413).

Almost surely, 2^{13113211212000} is an apocalyptic number.

13113211212000 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 13113211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23299010843472).

13113211212000 is an abundant number, since it is smaller than the sum of its proper divisors (33484810474944).

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

13113211212000 is a wasteful number, since it uses less digits than its factorization.

13113211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463659 (or 463638 counting only the distinct ones).

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

Adding to 13113211212000 its reverse (21211231131), we get a palindrome (13134422443131).

The spelling of 13113211212000 in words is "thirteen trillion, one hundred thirteen billion, two hundred eleven million, two hundred twelve thousand".