10413133222401 has 24 divisors (see below), whose sum is σ = 18512236841280. Its totient is φ = 5492641699296.

The previous prime is 10413133222367. The next prime is 10413133222417. The reversal of 10413133222401 is 10422233131401.

10413133222401 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 1 + 33 + 222 + 401 = 666.

It is not a de Polignac number, because 10413133222401 - 2²⁵ = 10413099667969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10413133222601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6357223371 + ... + 6357225008.

It is an arithmetic number, because the mean of its divisors is an integer number (771343201720).

Almost surely, 2^{10413133222401} is an apocalyptic number.

It is an amenable number.

10413133222401 is a deficient number, since it is larger than the sum of its proper divisors (8099103618879).

10413133222401 is a wasteful number, since it uses less digits than its factorization.

10413133222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714448405 (or 12714448402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10413133222401 its reverse (10422233131401), we get a palindrome (20835366353802).

The spelling of 10413133222401 in words is "ten trillion, four hundred thirteen billion, one hundred thirty-three million, two hundred twenty-two thousand, four hundred one".