312141431413011 has 32 divisors (see below), whose sum is σ = 420558828864768. Its totient is φ = 205911643766400.

The previous prime is 312141431412991. The next prime is 312141431413013. The reversal of 312141431413011 is 110314134141213.

It is a happy number.

It is not a de Polignac number, because 312141431413011 - 2⁶ = 312141431412947 is a prime.

It is a super-2 number, since 2×312141431413011² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312141431413011.

It is not an unprimeable number, because it can be changed into a prime (312141431413013) 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 31 ways as a sum of consecutive naturals, for example, 3750441180 + ... + 3750524406.

It is an arithmetic number, because the mean of its divisors is an integer number (13142463402024).

Almost surely, 2^{312141431413011} is an apocalyptic number.

312141431413011 is a deficient number, since it is larger than the sum of its proper divisors (108417397451757).

312141431413011 is a wasteful number, since it uses less digits than its factorization.

312141431413011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90531.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 312141431413011 its reverse (110314134141213), we get a palindrome (422455565554224).

The spelling of 312141431413011 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-one million, four hundred thirteen thousand, eleven".