1001113313123 has 48 divisors (see below), whose sum is σ = 1326422490624. Its totient is φ = 733900477440.

The previous prime is 1001113313113. The next prime is 1001113313143. The reversal of 1001113313123 is 3213133111001.

1001113313123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001113313123 - 2⁴ = 1001113313107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001113313095 and 1001113313104.

It is not an unprimeable number, because it can be changed into a prime (1001113313113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64592711 + ... + 64608207.

It is an arithmetic number, because the mean of its divisors is an integer number (27633801888).

Almost surely, 2^{1001113313123} is an apocalyptic number.

1001113313123 is a deficient number, since it is larger than the sum of its proper divisors (325309177501).

1001113313123 is a wasteful number, since it uses less digits than its factorization.

1001113313123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18452 (or 18435 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1001113313123 its reverse (3213133111001), we get a palindrome (4214246424124).

The spelling of 1001113313123 in words is "one trillion, one billion, one hundred thirteen million, three hundred thirteen thousand, one hundred twenty-three".