130002201003213 has 48 divisors (see below), whose sum is σ = 235147868407296. Its totient is φ = 67236105935520.

The previous prime is 130002201003209. The next prime is 130002201003217. The reversal of 130002201003213 is 312300102200031.

130002201003213 is a `hidden beast` number, since 1 + 300 + 0 + 220 + 100 + 32 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (130002201003209) and next prime (130002201003217).

It is not a de Polignac number, because 130002201003213 - 2² = 130002201003209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130002201003217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413043931 + ... + 413358552.

It is an arithmetic number, because the mean of its divisors is an integer number (4898913925152).

Almost surely, 2^{130002201003213} is an apocalyptic number.

It is an amenable number.

130002201003213 is a deficient number, since it is larger than the sum of its proper divisors (105145667404083).

130002201003213 is a wasteful number, since it uses less digits than its factorization.

130002201003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826402734 (or 826402731 counting only the distinct ones).

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

Adding to 130002201003213 its reverse (312300102200031), we get a palindrome (442302303203244).

The spelling of 130002201003213 in words is "one hundred thirty trillion, two billion, two hundred one million, three thousand, two hundred thirteen".