13430310012 has 288 divisors, whose sum is σ = 42083338752. Its totient is φ = 3524640768.

The previous prime is 13430310011. The next prime is 13430310043. The reversal of 13430310012 is 21001303431.

13430310012 is a `hidden beast` number, since 1 + 343 + 0 + 310 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430310011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38046028 + ... + 38046380.

It is an arithmetic number, because the mean of its divisors is an integer number (146122704).

Almost surely, 2^13430310012 is an apocalyptic number.

13430310012 is a gapful number since it is divisible by the number (12) 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 13430310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041669376).

13430310012 is an abundant number, since it is smaller than the sum of its proper divisors (28653028740).

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

13430310012 is a wasteful number, since it uses less digits than its factorization.

13430310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13430310012 its reverse (21001303431), we get a palindrome (34431613443).

The spelling of 13430310012 in words is "thirteen billion, four hundred thirty million, three hundred ten thousand, twelve".