1310003210106 has 192 divisors, whose sum is σ = 3069112924800. Its totient is φ = 402591264768.

The previous prime is 1310003210053. The next prime is 1310003210129. The reversal of 1310003210106 is 6010123000131.

It is a super-2 number, since 2×1310003210106² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1059015720 + ... + 1059016956.

It is an arithmetic number, because the mean of its divisors is an integer number (15984963150).

Almost surely, 2^{1310003210106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310003210106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534556462400).

1310003210106 is an abundant number, since it is smaller than the sum of its proper divisors (1759109714694).

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

1310003210106 is a wasteful number, since it uses less digits than its factorization.

1310003210106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310003210106 its reverse (6010123000131), we get a palindrome (7320126210237).

The spelling of 1310003210106 in words is "one trillion, three hundred ten billion, three million, two hundred ten thousand, one hundred six".