313201002313101 has 32 divisors (see below), whose sum is σ = 479053208275200. Its totient is φ = 178299106053120.

The previous prime is 313201002313099. The next prime is 313201002313153. The reversal of 313201002313101 is 101313200102313.

It is a happy number.

It is not a de Polignac number, because 313201002313101 - 2¹ = 313201002313099 is a prime.

It is a super-3 number, since 3×313201002313101³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201002313501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133218741 + ... + 135549381.

It is an arithmetic number, because the mean of its divisors is an integer number (14970412758600).

Almost surely, 2^{313201002313101} is an apocalyptic number.

It is an amenable number.

313201002313101 is a deficient number, since it is larger than the sum of its proper divisors (165852205962099).

313201002313101 is a wasteful number, since it uses less digits than its factorization.

313201002313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354709.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313201002313101 its reverse (101313200102313), we get a palindrome (414514202415414).

The spelling of 313201002313101 in words is "three hundred thirteen trillion, two hundred one billion, two million, three hundred thirteen thousand, one hundred one".