1310212102000 has 80 divisors (see below), whose sum is σ = 3175411573152. Its totient is φ = 522874137600.

The previous prime is 1310212101973. The next prime is 1310212102009. The reversal of 1310212102000 is 2012120131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310212102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109527 + ... + 1622473.

Almost surely, 2^{1310212102000} is an apocalyptic number.

1310212102000 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 1310212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587705786576).

1310212102000 is an abundant number, since it is smaller than the sum of its proper divisors (1865199471152).

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

1310212102000 is a wasteful number, since it uses less digits than its factorization.

1310212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513403 (or 1513387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1310212102000 its reverse (2012120131), we get a palindrome (1312224222131).

The spelling of 1310212102000 in words is "one trillion, three hundred ten billion, two hundred twelve million, one hundred two thousand".