311011020113441 has 16 divisors (see below), whose sum is σ = 311747522428800. Its totient is φ = 310275292104960.

The previous prime is 311011020113393. The next prime is 311011020113461. The reversal of 311011020113441 is 144311020110113.

It is a cyclic number.

It is not a de Polignac number, because 311011020113441 - 2¹⁸ = 311011019851297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311011020113461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10191386915 + ... + 10191417431.

It is an arithmetic number, because the mean of its divisors is an integer number (19484220151800).

Almost surely, 2^{311011020113441} is an apocalyptic number.

It is an amenable number.

311011020113441 is a deficient number, since it is larger than the sum of its proper divisors (736502315359).

311011020113441 is a wasteful number, since it uses less digits than its factorization.

311011020113441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42424.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 311011020113441 its reverse (144311020110113), we get a palindrome (455322040223554).

The spelling of 311011020113441 in words is "three hundred eleven trillion, eleven billion, twenty million, one hundred thirteen thousand, four hundred forty-one".