13010120040000 has 280 divisors, whose sum is σ = 45278421142240. Its totient is φ = 3286766592000.

The previous prime is 13010120039951. The next prime is 13010120040023. The reversal of 13010120040000 is 4002101031.

It is a happy number.

13010120040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 573097 + ... + 5133096.

Almost surely, 2^{13010120040000} is an apocalyptic number.

13010120040000 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 13010120040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639210571120).

13010120040000 is an abundant number, since it is smaller than the sum of its proper divisors (32268301102240).

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

13010120040000 is an equidigital number, since it uses as much as digits as its factorization.

13010120040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706247 (or 5706222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13010120040000 its reverse (4002101031), we get a palindrome (13014122141031).

The spelling of 13010120040000 in words is "thirteen trillion, ten billion, one hundred twenty million, forty thousand".