10400022000013 has 4 divisors (see below), whose sum is σ = 10463825816128. Its totient is φ = 10336218183900.

The previous prime is 10400022000007. The next prime is 10400022000077. The reversal of 10400022000013 is 31000022000401.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400022000013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400021999957 and 10400022000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400022000413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31901907813 + ... + 31901908138.

It is an arithmetic number, because the mean of its divisors is an integer number (2615956454032).

Almost surely, 2^{10400022000013} is an apocalyptic number.

It is an amenable number.

10400022000013 is a deficient number, since it is larger than the sum of its proper divisors (63803816115).

10400022000013 is an equidigital number, since it uses as much as digits as its factorization.

10400022000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63803816114.

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

Adding to 10400022000013 its reverse (31000022000401), we get a palindrome (41400044000414).

The spelling of 10400022000013 in words is "ten trillion, four hundred billion, twenty-two million, thirteen", and thus it is an aban number.