13331430005340 has 48 divisors (see below), whose sum is σ = 39523768960032. Its totient is φ = 3345927530496.

The previous prime is 13331430005317. The next prime is 13331430005363. The reversal of 13331430005340 is 4350003413331.

It is an interprime number because it is at equal distance from previous prime (13331430005317) and next prime (13331430005363).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13331430005298 and 13331430005307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6535013689 + ... + 6535015728.

It is an arithmetic number, because the mean of its divisors is an integer number (823411853334).

Almost surely, 2^{13331430005340} is an apocalyptic number.

13331430005340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331430005340 is an abundant number, since it is smaller than the sum of its proper divisors (26192338954692).

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

13331430005340 is a wasteful number, since it uses less digits than its factorization.

13331430005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070029446 (or 13070029444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13331430005340 its reverse (4350003413331), we get a palindrome (17681433418671).

The spelling of 13331430005340 in words is "thirteen trillion, three hundred thirty-one billion, four hundred thirty million, five thousand, three hundred forty".