130201312311213 has 64 divisors (see below), whose sum is σ = 216236422692864. Its totient is φ = 68463907200000.

The previous prime is 130201312311209. The next prime is 130201312311263. The reversal of 130201312311213 is 312113213102031.

It is not a de Polignac number, because 130201312311213 - 2² = 130201312311209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201312311263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6409053 + ... + 17363138.

It is an arithmetic number, because the mean of its divisors is an integer number (3378694104576).

Almost surely, 2^{130201312311213} is an apocalyptic number.

130201312311213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130201312311213 is a deficient number, since it is larger than the sum of its proper divisors (86035110381651).

130201312311213 is a wasteful number, since it uses less digits than its factorization.

130201312311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23772986.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 130201312311213 its reverse (312113213102031), we get a palindrome (442314525413244).

The spelling of 130201312311213 in words is "one hundred thirty trillion, two hundred one billion, three hundred twelve million, three hundred eleven thousand, two hundred thirteen".