13141431310000 has 400 divisors, whose sum is σ = 36751786663680. Its totient is φ = 4457462400000.

The previous prime is 13141431309973. The next prime is 13141431310069. The reversal of 13141431310000 is 1313414131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×13141431310000² (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 79 ways as a sum of consecutive naturals, for example, 9056809275 + ... + 9056810725.

Almost surely, 2^{13141431310000} is an apocalyptic number.

13141431310000 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 13141431310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375893331840).

13141431310000 is an abundant number, since it is smaller than the sum of its proper divisors (23610355353680).

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

13141431310000 is a wasteful number, since it uses less digits than its factorization.

13141431310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13141431310000 its reverse (1313414131), we get a palindrome (13142744724131).

The spelling of 13141431310000 in words is "thirteen trillion, one hundred forty-one billion, four hundred thirty-one million, three hundred ten thousand".