313033301013213 has 48 divisors (see below), whose sum is σ = 503948575316160. Its totient is φ = 185640158361600.

The previous prime is 313033301013163. The next prime is 313033301013269. The reversal of 313033301013213 is 312310103330313.

313033301013213 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 3 + 330 + 1 + 0 + 1 + 321 + 3 = 666.

It is not a de Polignac number, because 313033301013213 - 2⁹ = 313033301012701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313033301083213) 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, 133122783 + ... + 135453836.

It is an arithmetic number, because the mean of its divisors is an integer number (10498928652420).

Almost surely, 2^{313033301013213} is an apocalyptic number.

313033301013213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313033301013213 is a deficient number, since it is larger than the sum of its proper divisors (190915274302947).

313033301013213 is a wasteful number, since it uses less digits than its factorization.

313033301013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268576890 (or 268576887 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 313033301013213 its reverse (312310103330313), we get a palindrome (625343404343526).

The spelling of 313033301013213 in words is "three hundred thirteen trillion, thirty-three billion, three hundred one million, thirteen thousand, two hundred thirteen".