1310003210105 has 16 divisors (see below), whose sum is σ = 1616090762640. Its totient is φ = 1018667446272.

The previous prime is 1310003210053. The next prime is 1310003210129. The reversal of 1310003210105 is 5010123000131.

It can be written as a sum of positive squares in 8 ways, for example, as 10742907904 + 1299260302201 = 103648^2 + 1139851^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310003210105 - 2⁶ = 1310003210041 is a prime.

It is a super-2 number, since 2×1310003210105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322304 + ... + 3695633.

It is an arithmetic number, because the mean of its divisors is an integer number (101005672665).

Almost surely, 2^{1310003210105} is an apocalyptic number.

It is an amenable number.

1310003210105 is a deficient number, since it is larger than the sum of its proper divisors (306087552535).

1310003210105 is a wasteful number, since it uses less digits than its factorization.

1310003210105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018988.

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 1310003210105 its reverse (5010123000131), we get a palindrome (6320126210236).

The spelling of 1310003210105 in words is "one trillion, three hundred ten billion, three million, two hundred ten thousand, one hundred five".