10202444304131 has 8 divisors (see below), whose sum is σ = 10769164136400. Its totient is φ = 9665473544784.

The previous prime is 10202444304127. The next prime is 10202444304133. The reversal of 10202444304131 is 13140344420201.

It is not a de Polignac number, because 10202444304131 - 2² = 10202444304127 is a prime.

It is a super-2 number, since 2×10202444304131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202444304094 and 10202444304103.

It is not an unprimeable number, because it can be changed into a prime (10202444304133) 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 7 ways as a sum of consecutive naturals, for example, 743719946 + ... + 743733663.

It is an arithmetic number, because the mean of its divisors is an integer number (1346145517050).

Almost surely, 2^{10202444304131} is an apocalyptic number.

10202444304131 is a deficient number, since it is larger than the sum of its proper divisors (566719832269).

10202444304131 is an frugal number, since it uses more digits than its factorization.

10202444304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487453666 (or 1487453628 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10202444304131 its reverse (13140344420201), we get a palindrome (23342788724332).

The spelling of 10202444304131 in words is "ten trillion, two hundred two billion, four hundred forty-four million, three hundred four thousand, one hundred thirty-one".