13141312331310 has 256 divisors, whose sum is σ = 39024511672320. Its totient is φ = 3131593021440.

The previous prime is 13141312331299. The next prime is 13141312331321. The reversal of 13141312331310 is 1313321314131.

13141312331310 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 12 + 331 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (13141312331299) and next prime (13141312331321).

It is a super-2 number, since 2×13141312331310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6670089 + ... + 8412651.

It is an arithmetic number, because the mean of its divisors is an integer number (152439498720).

Almost surely, 2^{13141312331310} is an apocalyptic number.

13141312331310 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 13141312331310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512255836160).

13141312331310 is an abundant number, since it is smaller than the sum of its proper divisors (25883199341010).

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

13141312331310 is a wasteful number, since it uses less digits than its factorization.

13141312331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742680 (or 1742674 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 13141312331310 its reverse (1313321314131), we get a palindrome (14454633645441).

The spelling of 13141312331310 in words is "thirteen trillion, one hundred forty-one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred ten".