1310131134312 has 384 divisors, whose sum is σ = 4597171770240. Its totient is φ = 305626245120.

The previous prime is 1310131134307. The next prime is 1310131134317. The reversal of 1310131134312 is 2134311310131.

It is an interprime number because it is at equal distance from previous prime (1310131134307) and next prime (1310131134317).

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

It is not an unprimeable number, because it can be changed into a prime (1310131134317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6116938 + ... + 6327494.

It is an arithmetic number, because the mean of its divisors is an integer number (11971801485).

Almost surely, 2^{1310131134312} is an apocalyptic number.

1310131134312 is a gapful number since it is divisible by the number (12) 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 1310131134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298585885120).

1310131134312 is an abundant number, since it is smaller than the sum of its proper divisors (3287040635928).

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

1310131134312 is a wasteful number, since it uses less digits than its factorization.

1310131134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210641 (or 210630 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1310131134312 its reverse (2134311310131), we get a palindrome (3444442444443).

The spelling of 1310131134312 in words is "one trillion, three hundred ten billion, one hundred thirty-one million, one hundred thirty-four thousand, three hundred twelve".