13111132341000 has 512 divisors, whose sum is σ = 41735001784320. Its totient is φ = 3426416640000.

The previous prime is 13111132340993. The next prime is 13111132341029. The reversal of 13111132341000 is 14323111131.

It is a super-2 number, since 2×13111132341000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22722932712 + ... + 22722933288.

It is an arithmetic number, because the mean of its divisors is an integer number (81513675360).

Almost surely, 2^{13111132341000} is an apocalyptic number.

13111132341000 is a gapful number since it is divisible by the number (10) 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 13111132341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20867500892160).

13111132341000 is an abundant number, since it is smaller than the sum of its proper divisors (28623869443320).

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

13111132341000 is a wasteful number, since it uses less digits than its factorization.

13111132341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13111132341000 its reverse (14323111131), we get a palindrome (13125455452131).

The spelling of 13111132341000 in words is "thirteen trillion, one hundred eleven billion, one hundred thirty-two million, three hundred forty-one thousand".