313133000414311 has 64 divisors (see below), whose sum is σ = 404678657940480. Its totient is φ = 235109834588160.

The previous prime is 313133000414281. The next prime is 313133000414341. The reversal of 313133000414311 is 113414000331313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313133000414281) and next prime (313133000414341).

It is not a de Polignac number, because 313133000414311 - 2¹⁵ = 313133000381543 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313133000414311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313133000414341) 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, 2260867815 + ... + 2261006311.

It is an arithmetic number, because the mean of its divisors is an integer number (6323104030320).

Almost surely, 2^{313133000414311} is an apocalyptic number.

313133000414311 is a deficient number, since it is larger than the sum of its proper divisors (91545657526169).

313133000414311 is a wasteful number, since it uses less digits than its factorization.

313133000414311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140584.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 313133000414311 its reverse (113414000331313), we get a palindrome (426547000745624).

The spelling of 313133000414311 in words is "three hundred thirteen trillion, one hundred thirty-three billion, four hundred fourteen thousand, three hundred eleven".