313313222220999 has 256 divisors, whose sum is σ = 569474483945472. Its totient is φ = 147960172800000.

The previous prime is 313313222220983. The next prime is 313313222221003. The reversal of 313313222220999 is 999022222313313.

It is a happy number.

It is not a de Polignac number, because 313313222220999 - 2⁴ = 313313222220983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313222220959) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56139259389 + ... + 56139264969.

It is an arithmetic number, because the mean of its divisors is an integer number (2224509702912).

Almost surely, 2^{313313222220999} is an apocalyptic number.

313313222220999 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

313313222220999 is a deficient number, since it is larger than the sum of its proper divisors (256161261724473).

313313222220999 is a wasteful number, since it uses less digits than its factorization.

313313222220999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6670.

The product of its (nonzero) digits is 1889568, while the sum is 51.

The spelling of 313313222220999 in words is "three hundred thirteen trillion, three hundred thirteen billion, two hundred twenty-two million, two hundred twenty thousand, nine hundred ninety-nine".