13123040000 has 180 divisors, whose sum is σ = 37412386704. Its totient is φ = 4498944000.

The previous prime is 13123039997. The next prime is 13123040003. The reversal of 13123040000 is 4032131.

It is an interprime number because it is at equal distance from previous prime (13123039997) and next prime (13123040003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13123040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1114142 + ... + 1125858.

Almost surely, 2^13123040000 is an apocalyptic number.

13123040000 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 13123040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706193352).

13123040000 is an abundant number, since it is smaller than the sum of its proper divisors (24289346704).

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

13123040000 is an frugal number, since it uses more digits than its factorization.

13123040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13123040000 its reverse (4032131), we get a palindrome (13127072131).

The spelling of 13123040000 in words is "thirteen billion, one hundred twenty-three million, forty thousand".