311225421440413 has 16 divisors (see below), whose sum is σ = 330045164104896. Its totient is φ = 292462685912320.

The previous prime is 311225421440399. The next prime is 311225421440441. The reversal of 311225421440413 is 314044124522113.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311225421440413 is a prime.

It is a super-3 number, since 3×311225421440413³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311225421440473) 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 15 ways as a sum of consecutive naturals, for example, 127592658 + ... + 130008988.

It is an arithmetic number, because the mean of its divisors is an integer number (20627822756556).

Almost surely, 2^{311225421440413} is an apocalyptic number.

It is an amenable number.

311225421440413 is a deficient number, since it is larger than the sum of its proper divisors (18819742664483).

311225421440413 is a wasteful number, since it uses less digits than its factorization.

311225421440413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428124.

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 311225421440413 its reverse (314044124522113), we get a palindrome (625269545962526).

The spelling of 311225421440413 in words is "three hundred eleven trillion, two hundred twenty-five billion, four hundred twenty-one million, four hundred forty thousand, four hundred thirteen".