13342123000 has 128 divisors (see below), whose sum is σ = 33055776000. Its totient is φ = 5026435200.

The previous prime is 13342122967. The next prime is 13342123009. The reversal of 13342123000 is 32124331.

It is a super-2 number, since 2×13342123000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342123009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3399039 + ... + 3402961.

It is an arithmetic number, because the mean of its divisors is an integer number (258248250).

Almost surely, 2^13342123000 is an apocalyptic number.

13342123000 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 13342123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527888000).

13342123000 is an abundant number, since it is smaller than the sum of its proper divisors (19713653000).

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

13342123000 is a wasteful number, since it uses less digits than its factorization.

13342123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13342123000 its reverse (32124331), we get a palindrome (13374247331).

The spelling of 13342123000 in words is "thirteen billion, three hundred forty-two million, one hundred twenty-three thousand".