1313133113123 has 16 divisors (see below), whose sum is σ = 1431895266816. Its totient is φ = 1196921521440.

The previous prime is 1313133113099. The next prime is 1313133113141. The reversal of 1313133113123 is 3213113313131.

It is a cyclic number.

It is not a de Polignac number, because 1313133113123 - 2¹² = 1313133109027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313133113092 and 1313133113101.

It is not an unprimeable number, because it can be changed into a prime (1313133113153) 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, 1867286 + ... + 2472452.

It is an arithmetic number, because the mean of its divisors is an integer number (89493454176).

Almost surely, 2^{1313133113123} is an apocalyptic number.

1313133113123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1313133113123 is a deficient number, since it is larger than the sum of its proper divisors (118762153693).

1313133113123 is a wasteful number, since it uses less digits than its factorization.

1313133113123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607274.

The product of its digits is 1458, while the sum is 26.

Adding to 1313133113123 its reverse (3213113313131), we get a palindrome (4526246426254).

The spelling of 1313133113123 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-three".