1001013400321 has 16 divisors (see below), whose sum is σ = 1112164188480. Its totient is φ = 893266454080.

The previous prime is 1001013400313. The next prime is 1001013400327. The reversal of 1001013400321 is 1230043101001.

It is not a de Polignac number, because 1001013400321 - 2³ = 1001013400313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001013400295 and 1001013400304.

It is not an unprimeable number, because it can be changed into a prime (1001013400327) 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, 699766 + ... + 1578511.

It is an arithmetic number, because the mean of its divisors is an integer number (69510261780).

Almost surely, 2^{1001013400321} is an apocalyptic number.

1001013400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001013400321 is a deficient number, since it is larger than the sum of its proper divisors (111150788159).

1001013400321 is a wasteful number, since it uses less digits than its factorization.

1001013400321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279024.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001013400321 its reverse (1230043101001), we get a palindrome (2231056501322).

The spelling of 1001013400321 in words is "one trillion, one billion, thirteen million, four hundred thousand, three hundred twenty-one".