311440114134100 has 72 divisors (see below), whose sum is σ = 773411015276928. Its totient is φ = 106635753571200.

The previous prime is 311440114134077. The next prime is 311440114134101. The reversal of 311440114134100 is 1431411044113.

It is a super-2 number, since 2×311440114134100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311440114134101) 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 23 ways as a sum of consecutive naturals, for example, 298883971 + ... + 299924170.

It is an arithmetic number, because the mean of its divisors is an integer number (10741819656624).

Almost surely, 2^{311440114134100} is an apocalyptic number.

It is an amenable number.

311440114134100 is an abundant number, since it is smaller than the sum of its proper divisors (461970901142828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311440114134100 is a wasteful number, since it uses less digits than its factorization.

311440114134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598808905 (or 598808898 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 311440114134100 its reverse (1431411044113), we get a palindrome (312871525178213).

The spelling of 311440114134100 in words is "three hundred eleven trillion, four hundred forty billion, one hundred fourteen million, one hundred thirty-four thousand, one hundred".