13154131303040 has 512 divisors, whose sum is σ = 40807259136000. Its totient is φ = 3937497661440.

The previous prime is 13154131303039. The next prime is 13154131303067. The reversal of 13154131303040 is 4030313145131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13154131302994 and 13154131303012.

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, 698229941 + ... + 698248779.

It is an arithmetic number, because the mean of its divisors is an integer number (79701678000).

Almost surely, 2^{13154131303040} is an apocalyptic number.

13154131303040 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 13154131303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403629568000).

13154131303040 is an abundant number, since it is smaller than the sum of its proper divisors (27653127832960).

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

13154131303040 is a wasteful number, since it uses less digits than its factorization.

13154131303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19528 (or 19516 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13154131303040 its reverse (4030313145131), we get a palindrome (17184444448171).

The spelling of 13154131303040 in words is "thirteen trillion, one hundred fifty-four billion, one hundred thirty-one million, three hundred three thousand, forty".