13013414213130 has 48 divisors (see below), whose sum is σ = 35088020551584. Its totient is φ = 3470243789520.

The previous prime is 13013414213117. The next prime is 13013414213131. The reversal of 13013414213130 is 3131241431031.

13013414213130 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 414 + 213 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13013414213094 and 13013414213103.

It is not an unprimeable number, because it can be changed into a prime (13013414213131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677654816 + ... + 2677659675.

It is an arithmetic number, because the mean of its divisors is an integer number (731000428158).

Almost surely, 2^{13013414213130} is an apocalyptic number.

13013414213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13013414213130 is an abundant number, since it is smaller than the sum of its proper divisors (22074606338454).

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

13013414213130 is an equidigital number, since it uses as much as digits as its factorization.

13013414213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355314513 (or 5355314501 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13013414213130 its reverse (3131241431031), we get a palindrome (16144655644161).

The spelling of 13013414213130 in words is "thirteen trillion, thirteen billion, four hundred fourteen million, two hundred thirteen thousand, one hundred thirty".