311431030413041 has 64 divisors (see below), whose sum is σ = 401082894120960. Its totient is φ = 234805803471360.

The previous prime is 311431030413007. The next prime is 311431030413079. The reversal of 311431030413041 is 140314030134113.

It is not a de Polignac number, because 311431030413041 - 2¹⁴ = 311431030396657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311431030412995 and 311431030413013.

It is not an unprimeable number, because it can be changed into a prime (311431030413941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368792405 + ... + 369635901.

It is an arithmetic number, because the mean of its divisors is an integer number (6266920220640).

Almost surely, 2^{311431030413041} is an apocalyptic number.

It is an amenable number.

311431030413041 is a deficient number, since it is larger than the sum of its proper divisors (89651863707919).

311431030413041 is a wasteful number, since it uses less digits than its factorization.

311431030413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844854.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 311431030413041 its reverse (140314030134113), we get a palindrome (451745060547154).

The spelling of 311431030413041 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty million, four hundred thirteen thousand, forty-one".