1310412331540 has 192 divisors, whose sum is σ = 3035770617600. Its totient is φ = 472221757440.

The previous prime is 1310412331519. The next prime is 1310412331541. The reversal of 1310412331540 is 451332140131.

It is a junction number, because it is equal to n+sod(n) for n = 1310412331499 and 1310412331508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310412331541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1249200936 + ... + 1249201984.

It is an arithmetic number, because the mean of its divisors is an integer number (15811305300).

Almost surely, 2^{1310412331540} is an apocalyptic number.

1310412331540 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 1310412331540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517885308800).

1310412331540 is an abundant number, since it is smaller than the sum of its proper divisors (1725358286060).

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

1310412331540 is a wasteful number, since it uses less digits than its factorization.

1310412331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1310412331540 its reverse (451332140131), we get a palindrome (1761744471671).

The spelling of 1310412331540 in words is "one trillion, three hundred ten billion, four hundred twelve million, three hundred thirty-one thousand, five hundred forty".