13161023733312 has 896 divisors, whose sum is σ = 51149504000000. Its totient is φ = 3288316372992.

The previous prime is 13161023733311. The next prime is 13161023733337. The reversal of 13161023733312 is 21333732016131.

13161023733312 is a `hidden beast` number, since 1 + 3 + 1 + 610 + 2 + 3 + 7 + 3 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13161023733311) 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, 146352939 + ... + 146442837.

It is an arithmetic number, because the mean of its divisors is an integer number (57086500000).

Almost surely, 2^{13161023733312} is an apocalyptic number.

13161023733312 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 13161023733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574752000000).

13161023733312 is an abundant number, since it is smaller than the sum of its proper divisors (37988480266688).

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

13161023733312 is a wasteful number, since it uses less digits than its factorization.

13161023733312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89973 (or 89943 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Adding to 13161023733312 its reverse (21333732016131), we get a palindrome (34494755749443).

The spelling of 13161023733312 in words is "thirteen trillion, one hundred sixty-one billion, twenty-three million, seven hundred thirty-three thousand, three hundred twelve".