311233120120314 has 288 divisors, whose sum is σ = 804428047148544. Its totient is φ = 86679799315200.

The previous prime is 311233120120271. The next prime is 311233120120409. The reversal of 311233120120314 is 413021021332113.

311233120120314 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 331 + 2 + 0 + 12 + 0 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11993094039 + ... + 11993119989.

It is an arithmetic number, because the mean of its divisors is an integer number (2793152941488).

Almost surely, 2^{311233120120314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311233120120314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402214023574272).

311233120120314 is an abundant number, since it is smaller than the sum of its proper divisors (493194927028230).

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

311233120120314 is a wasteful number, since it uses less digits than its factorization.

311233120120314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27682 (or 27672 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 311233120120314 its reverse (413021021332113), we get a palindrome (724254141452427).

The spelling of 311233120120314 in words is "three hundred eleven trillion, two hundred thirty-three billion, one hundred twenty million, one hundred twenty thousand, three hundred fourteen".