10213411431201 has 32 divisors (see below), whose sum is σ = 14880202246656. Its totient is φ = 6179814816000.

The previous prime is 10213411431191. The next prime is 10213411431247.

10213411431201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10213411431201 - 2¹⁰ = 10213411430177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10213411433201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64628041 + ... + 64785881.

It is an arithmetic number, because the mean of its divisors is an integer number (465006320208).

Almost surely, 2^{10213411431201} is an apocalyptic number.

10213411431201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213411431201 is a deficient number, since it is larger than the sum of its proper divisors (4666790815455).

10213411431201 is a wasteful number, since it uses less digits than its factorization.

10213411431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161053.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1021341 and 1431201, that added together give a palindrome (2452542).

The spelling of 10213411431201 in words is "ten trillion, two hundred thirteen billion, four hundred eleven million, four hundred thirty-one thousand, two hundred one".