13201431311430 has 192 divisors, whose sum is σ = 35920456266240. Its totient is φ = 3357515217408.

The previous prime is 13201431311429. The next prime is 13201431311437. The reversal of 13201431311430 is 3411313410231.

13201431311430 is a `hidden beast` number, since 1 + 3 + 201 + 4 + 3 + 13 + 11 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13201431311394 and 13201431311403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201431311437) 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, 2673975922 + ... + 2673980858.

It is an arithmetic number, because the mean of its divisors is an integer number (187085709720).

Almost surely, 2^{13201431311430} is an apocalyptic number.

13201431311430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201431311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960228133120).

13201431311430 is an abundant number, since it is smaller than the sum of its proper divisors (22719024954810).

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

13201431311430 is a wasteful number, since it uses less digits than its factorization.

13201431311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13201431311430 its reverse (3411313410231), we get a palindrome (16612744721661).

The spelling of 13201431311430 in words is "thirteen trillion, two hundred one billion, four hundred thirty-one million, three hundred eleven thousand, four hundred thirty".