123131331306 has 32 divisors (see below), whose sum is σ = 273896486400. Its totient is φ = 41003081280.

The previous prime is 123131331293. The next prime is 123131331343. The reversal of 123131331306 is 603133131321.

123131331306 is a `hidden beast` number, since 1 + 2 + 31 + 313 + 313 + 0 + 6 = 666.

It is a super-2 number, since 2×123131331306² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 123131331306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075450 + ... + 1184421.

It is an arithmetic number, because the mean of its divisors is an integer number (8559265200).

Almost surely, 2^123131331306 is an apocalyptic number.

123131331306 is an abundant number, since it is smaller than the sum of its proper divisors (150765155094).

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

123131331306 is a wasteful number, since it uses less digits than its factorization.

123131331306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260891 (or 2260885 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 123131331306 its reverse (603133131321), we get a palindrome (726264462627).

The spelling of 123131331306 in words is "one hundred twenty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred six".