10400220013 has 2 divisors, whose sum is σ = 10400220014. Its totient is φ = 10400220012.

The previous prime is 10400219993. The next prime is 10400220029. The reversal of 10400220013 is 31002200401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10096833289 + 303386724 = 100483^2 + 17418^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400220013 - 2¹³ = 10400211821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400219975 and 10400220002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400220043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200110006 + 5200110007.

It is an arithmetic number, because the mean of its divisors is an integer number (5200110007).

Almost surely, 2^10400220013 is an apocalyptic number.

It is an amenable number.

10400220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400220013 is an equidigital number, since it uses as much as digits as its factorization.

10400220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10400220013 its reverse (31002200401), we get a palindrome (41402420414).

The spelling of 10400220013 in words is "ten billion, four hundred million, two hundred twenty thousand, thirteen".