13354242000 has 640 divisors, whose sum is σ = 49738530816. Its totient is φ = 3052800000.

The previous prime is 13354241977. The next prime is 13354242001. The reversal of 13354242000 is 24245331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354242001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124805947 + ... + 124806053.

Almost surely, 2^13354242000 is an apocalyptic number.

13354242000 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 13354242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24869265408).

13354242000 is an abundant number, since it is smaller than the sum of its proper divisors (36384288816).

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

13354242000 is a wasteful number, since it uses less digits than its factorization.

13354242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13354242000 its reverse (24245331), we get a palindrome (13378487331).

The spelling of 13354242000 in words is "thirteen billion, three hundred fifty-four million, two hundred forty-two thousand".