13131514335000 has 160 divisors (see below), whose sum is σ = 41029208138160. Its totient is φ = 3501194496000.

The previous prime is 13131514334933. The next prime is 13131514335001. The reversal of 13131514335000 is 53341513131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131514335001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101830564 + ... + 101959436.

Almost surely, 2^{13131514335000} is an apocalyptic number.

13131514335000 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 13131514335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514604069080).

13131514335000 is an abundant number, since it is smaller than the sum of its proper divisors (27897693803160).

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

13131514335000 is a wasteful number, since it uses less digits than its factorization.

13131514335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135695 (or 135676 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13131514335000 its reverse (53341513131), we get a palindrome (13184855848131).

The spelling of 13131514335000 in words is "thirteen trillion, one hundred thirty-one billion, five hundred fourteen million, three hundred thirty-five thousand".