1313101010123 has 16 divisors (see below), whose sum is σ = 1523021364480. Its totient is φ = 1108887904800.

The previous prime is 1313101010071. The next prime is 1313101010153. The reversal of 1313101010123 is 3210101013131.

It is a cyclic number.

It is not a de Polignac number, because 1313101010123 - 2¹² = 1313101006027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313101010153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5023448 + ... + 5278373.

It is an arithmetic number, because the mean of its divisors is an integer number (95188835280).

Almost surely, 2^{1313101010123} is an apocalyptic number.

1313101010123 is a deficient number, since it is larger than the sum of its proper divisors (209920354357).

1313101010123 is a wasteful number, since it uses less digits than its factorization.

1313101010123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302098.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1313101010123 its reverse (3210101013131), we get a palindrome (4523202023254).

The spelling of 1313101010123 in words is "one trillion, three hundred thirteen billion, one hundred one million, ten thousand, one hundred twenty-three".