1312241351538 has 256 divisors, whose sum is σ = 3103518781440. Its totient is φ = 366633298944.

The previous prime is 1312241351537. The next prime is 1312241351599. The reversal of 1312241351538 is 8351531422131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1312241351496 and 1312241351505.

It is not an unprimeable number, because it can be changed into a prime (1312241351537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484757181 + ... + 484759887.

It is an arithmetic number, because the mean of its divisors is an integer number (12123120240).

Almost surely, 2^{1312241351538} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312241351538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551759390720).

1312241351538 is an abundant number, since it is smaller than the sum of its proper divisors (1791277429902).

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

1312241351538 is a wasteful number, since it uses less digits than its factorization.

1312241351538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961.

The product of its digits is 86400, while the sum is 39.

Adding to 1312241351538 its reverse (8351531422131), we get a palindrome (9663772773669).

The spelling of 1312241351538 in words is "one trillion, three hundred twelve billion, two hundred forty-one million, three hundred fifty-one thousand, five hundred thirty-eight".