13130010003312 has 120 divisors (see below), whose sum is σ = 38344789776384. Its totient is φ = 4186232088192.

The previous prime is 13130010003277. The next prime is 13130010003317. The reversal of 13130010003312 is 21330001003131.

It is a happy number.

13130010003312 is a `hidden beast` number, since 1 + 31 + 300 + 1 + 0 + 0 + 0 + 331 + 2 = 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 (13130010003317) 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, 130333153 + ... + 130433855.

Almost surely, 2^{13130010003312} is an apocalyptic number.

13130010003312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130010003312 is an abundant number, since it is smaller than the sum of its proper divisors (25214779773072).

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

13130010003312 is a wasteful number, since it uses less digits than its factorization.

13130010003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140107 (or 140098 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13130010003312 its reverse (21330001003131), we get a palindrome (34460011006443).

The spelling of 13130010003312 in words is "thirteen trillion, one hundred thirty billion, ten million, three thousand, three hundred twelve".