1313106016248 has 96 divisors (see below), whose sum is σ = 3845917857600. Its totient is φ = 402342038784.

The previous prime is 1313106016247. The next prime is 1313106016253. The reversal of 1313106016248 is 8426106013131.

1313106016248 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 0 + 601 + 6 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313106016247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2711215 + ... + 3158622.

It is an arithmetic number, because the mean of its divisors is an integer number (40061644350).

Almost surely, 2^{1313106016248} is an apocalyptic number.

1313106016248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1313106016248 is an abundant number, since it is smaller than the sum of its proper divisors (2532811841352).

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

1313106016248 is a wasteful number, since it uses less digits than its factorization.

1313106016248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870101 (or 5870094 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1313106016248 in words is "one trillion, three hundred thirteen billion, one hundred six million, sixteen thousand, two hundred forty-eight".