1400001100013 has 16 divisors (see below), whose sum is σ = 1444047318000. Its totient is φ = 1356429803520.

The previous prime is 1400001099997. The next prime is 1400001100061. The reversal of 1400001100013 is 3100011000041.

It can be written as a sum of positive squares in 8 ways, for example, as 61069777129 + 1338931322884 = 247123^2 + 1157122^2 .

It is a cyclic number.

It is not a de Polignac number, because 1400001100013 - 2⁴ = 1400001099997 is a prime.

It is a super-2 number, since 2×1400001100013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1400001099967 and 1400001100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400001100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37325573 + ... + 37363061.

It is an arithmetic number, because the mean of its divisors is an integer number (90252957375).

Almost surely, 2^{1400001100013} is an apocalyptic number.

It is an amenable number.

1400001100013 is a deficient number, since it is larger than the sum of its proper divisors (44046217987).

1400001100013 is a wasteful number, since it uses less digits than its factorization.

1400001100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43792.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1400001100013 its reverse (3100011000041), we get a palindrome (4500012100054).

The spelling of 1400001100013 in words is "one trillion, four hundred billion, one million, one hundred thousand, thirteen".