13110400340 has 96 divisors (see below), whose sum is σ = 30264192000. Its totient is φ = 4749096960.

The previous prime is 13110400337. The next prime is 13110400363. The reversal of 13110400340 is 4300401131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883186 + ... + 1890134.

It is an arithmetic number, because the mean of its divisors is an integer number (315252000).

Almost surely, 2^13110400340 is an apocalyptic number.

13110400340 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 13110400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132096000).

13110400340 is an abundant number, since it is smaller than the sum of its proper divisors (17153791660).

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

13110400340 is a wasteful number, since it uses less digits than its factorization.

13110400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13110400340 its reverse (4300401131), we get a palindrome (17410801471).

The spelling of 13110400340 in words is "thirteen billion, one hundred ten million, four hundred thousand, three hundred forty".