1313033123101 has 16 divisors (see below), whose sum is σ = 1611825232000. Its totient is φ = 1066222380384.

The previous prime is 1313033123029. The next prime is 1313033123113. The reversal of 1313033123101 is 1013213303131.

It is not a de Polignac number, because 1313033123101 - 2²⁵ = 1312999568669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313033123191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100732560 + ... + 100745593.

It is an arithmetic number, because the mean of its divisors is an integer number (100739077000).

Almost surely, 2^{1313033123101} is an apocalyptic number.

It is an amenable number.

1313033123101 is a deficient number, since it is larger than the sum of its proper divisors (298792108899).

1313033123101 is an equidigital number, since it uses as much as digits as its factorization.

1313033123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201478193 (or 201478179 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1313033123101 its reverse (1013213303131), we get a palindrome (2326246426232).

The spelling of 1313033123101 in words is "one trillion, three hundred thirteen billion, thirty-three million, one hundred twenty-three thousand, one hundred one".