10213233231201 has 576 divisors, whose sum is σ = 19818088217856. Its totient is φ = 4619317248000.

The previous prime is 10213233231167. The next prime is 10213233231203.

10213233231201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10213233231201 - 2¹¹ = 10213233229153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10213233231203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74549147605 + ... + 74549147741.

It is an arithmetic number, because the mean of its divisors is an integer number (34406403156).

Almost surely, 2^{10213233231201} is an apocalyptic number.

10213233231201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213233231201 is a deficient number, since it is larger than the sum of its proper divisors (9604854986655).

10213233231201 is a wasteful number, since it uses less digits than its factorization.

10213233231201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1021323 and 3231201, that added together give a palindrome (4252524).

The spelling of 10213233231201 in words is "ten trillion, two hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, two hundred one".