13130974365696 has 576 divisors, whose sum is σ = 44612582414400. Its totient is φ = 3677670604800.

The previous prime is 13130974365647. The next prime is 13130974365697. The reversal of 13130974365696 is 69656347903131.

13130974365696 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 9 + 7 + 4 + 36 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (13130974365697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157902240 + ... + 157985376.

It is an arithmetic number, because the mean of its divisors is an integer number (77452400025).

Almost surely, 2^{13130974365696} is an apocalyptic number.

13130974365696 is a gapful number since it is divisible by the number (16) 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 13130974365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22306291207200).

13130974365696 is an abundant number, since it is smaller than the sum of its proper divisors (31481608048704).

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

13130974365696 is a wasteful number, since it uses less digits than its factorization.

13130974365696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83236 (or 83213 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 13130974365696 in words is "thirteen trillion, one hundred thirty billion, nine hundred seventy-four million, three hundred sixty-five thousand, six hundred ninety-six".