311388331122 has 90 divisors (see below), whose sum is σ = 742820948415. Its totient is φ = 94273292520.

The previous prime is 311388331103. The next prime is 311388331123. The reversal of 311388331122 is 221133883113.

It is a happy number.

311388331122 is a `hidden beast` number, since 311 + 3 + 8 + 8 + 3 + 311 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155694165561 + 155694165561 = 394581^2 + 394581^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=394581.

It is a super-6 number, since 6×311388331122⁶ (a number of 70 digits) contains 666666 as substring.

It is not an unprimeable number, because it can be changed into a prime (311388331123) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 286465263 + ... + 286466349.

Almost surely, 2^311388331122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311388331122

311388331122 is an abundant number, since it is smaller than the sum of its proper divisors (431432617293).

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

311388331122 is an frugal number, since it uses more digits than its factorization.

311388331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1103 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 311388331122 in words is "three hundred eleven billion, three hundred eighty-eight million, three hundred thirty-one thousand, one hundred twenty-two".