3102065133696 has 640 divisors, whose sum is σ = 10302904128000. Its totient is φ = 922310737920.

The previous prime is 3102065133683. The next prime is 3102065133743. The reversal of 3102065133696 is 6963315602013.

3102065133696 is a `hidden beast` number, since 3 + 10 + 2 + 0 + 6 + 513 + 36 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225942960 + ... + 225956688.

It is an arithmetic number, because the mean of its divisors is an integer number (16098287700).

Almost surely, 2^{3102065133696} is an apocalyptic number.

3102065133696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102065133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151452064000).

3102065133696 is an abundant number, since it is smaller than the sum of its proper divisors (7200838994304).

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

3102065133696 is a wasteful number, since it uses less digits than its factorization.

3102065133696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 3102065133696 in words is "three trillion, one hundred two billion, sixty-five million, one hundred thirty-three thousand, six hundred ninety-six".