311434010321 has 24 divisors (see below), whose sum is σ = 363446441064. Its totient is φ = 266085388800.

The previous prime is 311434010309. The next prime is 311434010383. The reversal of 311434010321 is 123010434113.

It can be written as a sum of positive squares in 4 ways, for example, as 21101629696 + 290332380625 = 145264^2 + 538825^2 .

It is a de Polignac number, because none of the positive numbers 2^k-311434010321 is a prime.

It is a super-2 number, since 2×311434010321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311434040321) 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 23 ways as a sum of consecutive naturals, for example, 25730171 + ... + 25742271.

It is an arithmetic number, because the mean of its divisors is an integer number (15143601711).

Almost surely, 2^311434010321 is an apocalyptic number.

It is an amenable number.

311434010321 is a deficient number, since it is larger than the sum of its proper divisors (52012430743).

311434010321 is a wasteful number, since it uses less digits than its factorization.

311434010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 311434010321 its reverse (123010434113), we get a palindrome (434444444434).

The spelling of 311434010321 in words is "three hundred eleven billion, four hundred thirty-four million, ten thousand, three hundred twenty-one".