13130403001040 has 320 divisors, whose sum is σ = 36737111174400. Its totient is φ = 4311652073472.

The previous prime is 13130403001031. The next prime is 13130403001043. The reversal of 13130403001040 is 4010030403131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130403001043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130622639 + ... + 130723121.

It is an arithmetic number, because the mean of its divisors is an integer number (114803472420).

Almost surely, 2^{13130403001040} is an apocalyptic number.

13130403001040 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 13130403001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368555587200).

13130403001040 is an abundant number, since it is smaller than the sum of its proper divisors (23606708173360).

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

13130403001040 is a wasteful number, since it uses less digits than its factorization.

13130403001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100934 (or 100928 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13130403001040 its reverse (4010030403131), we get a palindrome (17140433404171).

The spelling of 13130403001040 in words is "thirteen trillion, one hundred thirty billion, four hundred three million, one thousand, forty".