313431100041 has 16 divisors (see below), whose sum is σ = 425390908160. Its totient is φ = 205240089600.

The previous prime is 313431100039. The next prime is 313431100051. The reversal of 313431100041 is 140001134313.

It is not a de Polignac number, because 313431100041 - 2¹ = 313431100039 is a prime.

It is a super-2 number, since 2×313431100041² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313431099990 and 313431100017.

It is not an unprimeable number, because it can be changed into a prime (313431100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3380410 + ... + 3471891.

It is an arithmetic number, because the mean of its divisors is an integer number (26586931760).

Almost surely, 2^313431100041 is an apocalyptic number.

It is an amenable number.

313431100041 is a deficient number, since it is larger than the sum of its proper divisors (111959808119).

313431100041 is a wasteful number, since it uses less digits than its factorization.

313431100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852576.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313431100041 its reverse (140001134313), we get a palindrome (453432234354).

The spelling of 313431100041 in words is "three hundred thirteen billion, four hundred thirty-one million, one hundred thousand, forty-one".