13810302000 has 480 divisors, whose sum is σ = 55404311040. Its totient is φ = 3170880000.

The previous prime is 13810301983. The next prime is 13810302007. The reversal of 13810302000 is 20301831.

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

It is not an unprimeable number, because it can be changed into a prime (13810302007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3760165 + ... + 3763835.

It is an arithmetic number, because the mean of its divisors is an integer number (115425648).

Almost surely, 2^13810302000 is an apocalyptic number.

13810302000 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 13810302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27702155520).

13810302000 is an abundant number, since it is smaller than the sum of its proper divisors (41594009040).

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

13810302000 is a wasteful number, since it uses less digits than its factorization.

13810302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13810302000 its reverse (20301831), we get a palindrome (13830603831).

The spelling of 13810302000 in words is "thirteen billion, eight hundred ten million, three hundred two thousand".