13131011430240 has 384 divisors, whose sum is σ = 46666391224320. Its totient is φ = 3076104345600.

The previous prime is 13131011430239. The next prime is 13131011430283. The reversal of 13131011430240 is 4203411013131.

It is a happy number.

13131011430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13131011430240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13131011430240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19269745 + ... + 19939535.

It is an arithmetic number, because the mean of its divisors is an integer number (121527060480).

Almost surely, 2^{13131011430240} is an apocalyptic number.

13131011430240 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 13131011430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23333195612160).

13131011430240 is an abundant number, since it is smaller than the sum of its proper divisors (33535379794080).

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

13131011430240 is a wasteful number, since it uses less digits than its factorization.

13131011430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669946 (or 669938 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13131011430240 its reverse (4203411013131), we get a palindrome (17334422443371).

The spelling of 13131011430240 in words is "thirteen trillion, one hundred thirty-one billion, eleven million, four hundred thirty thousand, two hundred forty".