201301130213313 has 64 divisors (see below), whose sum is σ = 294198615406080. Its totient is φ = 121683079526400.

The previous prime is 201301130213263. The next prime is 201301130213317. The reversal of 201301130213313 is 313312031103102.

It is not a de Polignac number, because 201301130213313 - 2³⁷ = 201163691259841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201301130213317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11961553783 + ... + 11961570611.

It is an arithmetic number, because the mean of its divisors is an integer number (4596853365720).

Almost surely, 2^{201301130213313} is an apocalyptic number.

It is an amenable number.

201301130213313 is a deficient number, since it is larger than the sum of its proper divisors (92897485192767).

201301130213313 is a wasteful number, since it uses less digits than its factorization.

201301130213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32570.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 201301130213313 its reverse (313312031103102), we get a palindrome (514613161316415).

The spelling of 201301130213313 in words is "two hundred one trillion, three hundred one billion, one hundred thirty million, two hundred thirteen thousand, three hundred thirteen".