1001313123000 has 64 divisors (see below), whose sum is σ = 3124096953120. Its totient is φ = 267016832000.

The previous prime is 1001313122947. The next prime is 1001313123001. The reversal of 1001313123000 is 3213131001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001313123001) 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, 166882521 + ... + 166888520.

Almost surely, 2^{1001313123000} is an apocalyptic number.

1001313123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001313123000 is an abundant number, since it is smaller than the sum of its proper divisors (2122783830120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001313123000 is a wasteful number, since it uses less digits than its factorization.

1001313123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333771065 (or 333771051 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1001313123000 its reverse (3213131001), we get a palindrome (1004526254001).

The spelling of 1001313123000 in words is "one trillion, one billion, three hundred thirteen million, one hundred twenty-three thousand".