1310248170000 has 3200 divisors, whose sum is σ = 6426102988800. Its totient is φ = 247276800000.

The previous prime is 1310248169929. The next prime is 1310248170071. The reversal of 1310248170000 is 718420131.

1310248170000 is a `hidden beast` number, since 13 + 102 + 481 + 70 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1310248169929) and next prime (1310248170071).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 12245309947 + ... + 12245310053.

It is an arithmetic number, because the mean of its divisors is an integer number (2008157184).

Almost surely, 2^{1310248170000} is an apocalyptic number.

1310248170000 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 1310248170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213051494400).

1310248170000 is an abundant number, since it is smaller than the sum of its proper divisors (5115854818800).

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

1310248170000 is a wasteful number, since it uses less digits than its factorization.

1310248170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1310248170000 in words is "one trillion, three hundred ten billion, two hundred forty-eight million, one hundred seventy thousand".