10311311312406 has 32 divisors (see below), whose sum is σ = 24676642458720. Its totient is φ = 3172711172832.

The previous prime is 10311311312389. The next prime is 10311311312411. The reversal of 10311311312406 is 60421311311301.

10311311312406 is a `hidden beast` number, since 1 + 0 + 31 + 1 + 311 + 312 + 4 + 0 + 6 = 666.

It is a super-3 number, since 3×10311311312406³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 10311311312406.

It is a congruent number.

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, 7344238125 + ... + 7344239528.

It is an arithmetic number, because the mean of its divisors is an integer number (771145076835).

Almost surely, 2^{10311311312406} is an apocalyptic number.

10311311312406 is an abundant number, since it is smaller than the sum of its proper divisors (14365331146314).

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

10311311312406 is a wasteful number, since it uses less digits than its factorization.

10311311312406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14688477677 (or 14688477671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10311311312406 its reverse (60421311311301), we get a palindrome (70732622623707).

The spelling of 10311311312406 in words is "ten trillion, three hundred eleven billion, three hundred eleven million, three hundred twelve thousand, four hundred six".