313114014114021 has 48 divisors (see below), whose sum is σ = 476739018802800. Its totient is φ = 197725439149056.

The previous prime is 313114014114019. The next prime is 313114014114043. The reversal of 313114014114021 is 120411410411313.

313114014114021 is a `hidden beast` number, since 3 + 1 + 3 + 114 + 0 + 141 + 1 + 402 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18273829544100 + 294840184569921 = 4274790^2 + 17170911^2 .

It is not a de Polignac number, because 313114014114021 - 2¹ = 313114014114019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313114014114061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166068375 + ... + 167943243.

It is an arithmetic number, because the mean of its divisors is an integer number (9932062891725).

Almost surely, 2^{313114014114021} is an apocalyptic number.

It is an amenable number.

313114014114021 is a deficient number, since it is larger than the sum of its proper divisors (163625004688779).

313114014114021 is a wasteful number, since it uses less digits than its factorization.

313114014114021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887030 (or 1887027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 313114014114021 its reverse (120411410411313), we get a palindrome (433525424525334).

The spelling of 313114014114021 in words is "three hundred thirteen trillion, one hundred fourteen billion, fourteen million, one hundred fourteen thousand, twenty-one".