13123221111000 has 2304 divisors, whose sum is σ = 64190125883520. Its totient is φ = 2368880640000.

The previous prime is 13123221110941. The next prime is 13123221111019. The reversal of 13123221111000 is 11112232131.

13123221111000 is a `hidden beast` number, since 1 + 312 + 32 + 211 + 110 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 1072064880 + ... + 1072077120.

Almost surely, 2^{13123221111000} is an apocalyptic number.

13123221111000 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 13123221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32095062941760).

13123221111000 is an abundant number, since it is smaller than the sum of its proper divisors (51066904772520).

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

13123221111000 is a wasteful number, since it uses less digits than its factorization.

13123221111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12299 counting only the distinct ones).

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

Adding to 13123221111000 its reverse (11112232131), we get a palindrome (13134333343131).

The spelling of 13123221111000 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred eleven thousand".