1001313200040 has 128 divisors (see below), whose sum is σ = 3085543152000. Its totient is φ = 259765152768.

The previous prime is 1001313200039. The next prime is 1001313200053. The reversal of 1001313200040 is 400023131001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001313199992 and 1001313200019.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56951971 + ... + 56969549.

It is an arithmetic number, because the mean of its divisors is an integer number (24105805875).

Almost surely, 2^{1001313200040} is an apocalyptic number.

1001313200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001313200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542771576000).

1001313200040 is an abundant number, since it is smaller than the sum of its proper divisors (2084229951960).

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

1001313200040 is a wasteful number, since it uses less digits than its factorization.

1001313200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30459 (or 30455 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1001313200040 its reverse (400023131001), we get a palindrome (1401336331041).

The spelling of 1001313200040 in words is "one trillion, one billion, three hundred thirteen million, two hundred thousand, forty".