10201413031041 has 32 divisors (see below), whose sum is σ = 14943604681728. Its totient is φ = 6162310840320.

The previous prime is 10201413030971. The next prime is 10201413031087. The reversal of 10201413031041 is 14013031410201.

It is a de Polignac number, because none of the positive numbers 2^k-10201413031041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201413030999 and 10201413031017.

It is not an unprimeable number, because it can be changed into a prime (10201413031091) 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 31 ways as a sum of consecutive naturals, for example, 16411206 + ... + 17021471.

It is an arithmetic number, because the mean of its divisors is an integer number (466987646304).

Almost surely, 2^{10201413031041} is an apocalyptic number.

It is an amenable number.

10201413031041 is a deficient number, since it is larger than the sum of its proper divisors (4742191650687).

10201413031041 is a wasteful number, since it uses less digits than its factorization.

10201413031041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33432921.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10201413031041 its reverse (14013031410201), we get a palindrome (24214444441242).

The spelling of 10201413031041 in words is "ten trillion, two hundred one billion, four hundred thirteen million, thirty-one thousand, forty-one".