13120113032334 has 192 divisors, whose sum is σ = 37341332840448. Its totient is φ = 3228007464000.

The previous prime is 13120113032333. The next prime is 13120113032387. The reversal of 13120113032334 is 43323031102131.

13120113032334 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 1 + 1 + 303 + 2 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13120113032298 and 13120113032307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120113032333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285509 + ... + 5281359.

It is an arithmetic number, because the mean of its divisors is an integer number (194486108544).

Almost surely, 2^{13120113032334} is an apocalyptic number.

13120113032334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120113032334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670666420224).

13120113032334 is an abundant number, since it is smaller than the sum of its proper divisors (24221219808114).

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

13120113032334 is a wasteful number, since it uses less digits than its factorization.

13120113032334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996003 (or 3996000 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13120113032334 its reverse (43323031102131), we get a palindrome (56443144134465).

The spelling of 13120113032334 in words is "thirteen trillion, one hundred twenty billion, one hundred thirteen million, thirty-two thousand, three hundred thirty-four".