13201011023214 has 128 divisors (see below), whose sum is σ = 31851789926400. Its totient is φ = 3569408772480.

The previous prime is 13201011023117. The next prime is 13201011023219. The reversal of 13201011023214 is 41232011010231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201011023219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6175357 + ... + 8033495.

It is an arithmetic number, because the mean of its divisors is an integer number (248842108800).

Almost surely, 2^{13201011023214} is an apocalyptic number.

13201011023214 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 13201011023214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925894963200).

13201011023214 is an abundant number, since it is smaller than the sum of its proper divisors (18650778903186).

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

13201011023214 is a wasteful number, since it uses less digits than its factorization.

13201011023214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858318.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13201011023214 its reverse (41232011010231), we get a palindrome (54433022033445).

The spelling of 13201011023214 in words is "thirteen trillion, two hundred one billion, eleven million, twenty-three thousand, two hundred fourteen".