3116312110000 has 100 divisors (see below), whose sum is σ = 7545764894800. Its totient is φ = 1246382496000.

The previous prime is 3116312109997. The next prime is 3116312110039. The reversal of 3116312110000 is 112136113.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3116312110000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3116312110000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 155579986 + ... + 155600014.

It is an arithmetic number, because the mean of its divisors is an integer number (75457648948).

Almost surely, 2^{3116312110000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116312110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772882447400).

3116312110000 is an abundant number, since it is smaller than the sum of its proper divisors (4429452784800).

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

3116312110000 is a wasteful number, since it uses less digits than its factorization.

3116312110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35616 (or 35595 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 3116312110000 its reverse (112136113), we get a palindrome (3116424246113).

The spelling of 3116312110000 in words is "three trillion, one hundred sixteen billion, three hundred twelve million, one hundred ten thousand".