13130767196892 has 384 divisors, whose sum is σ = 36695354572800. Its totient is φ = 4049841514752.

The previous prime is 13130767196891. The next prime is 13130767196903. The reversal of 13130767196892 is 29869176703131.

13130767196892 is a `hidden beast` number, since 1 + 3 + 1 + 307 + 67 + 196 + 89 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130767196891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20294848513 + ... + 20294849159.

It is an arithmetic number, because the mean of its divisors is an integer number (95560819200).

Almost surely, 2^{13130767196892} is an apocalyptic number.

13130767196892 is a gapful number since it is divisible by the number (12) 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 13130767196892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347677286400).

13130767196892 is an abundant number, since it is smaller than the sum of its proper divisors (23564587375908).

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

13130767196892 is a wasteful number, since it uses less digits than its factorization.

13130767196892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 13130767196892 in words is "thirteen trillion, one hundred thirty billion, seven hundred sixty-seven million, one hundred ninety-six thousand, eight hundred ninety-two".