10241310356541 has 128 divisors (see below), whose sum is σ = 18269709926400. Its totient is φ = 5597320320000.

The previous prime is 10241310356503. The next prime is 10241310356549. The reversal of 10241310356541 is 14565301314201.

10241310356541 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 3 + 103 + 5 + 6 + 541 = 666.

It is not a de Polignac number, because 10241310356541 - 2¹⁸ = 10241310094397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10241310356496 and 10241310356505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241310356549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15484500 + ... + 16132338.

It is an arithmetic number, because the mean of its divisors is an integer number (142732108800).

Almost surely, 2^{10241310356541} is an apocalyptic number.

10241310356541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241310356541 is a deficient number, since it is larger than the sum of its proper divisors (8028399569859).

10241310356541 is a wasteful number, since it uses less digits than its factorization.

10241310356541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648008 (or 648002 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10241310356541 in words is "ten trillion, two hundred forty-one billion, three hundred ten million, three hundred fifty-six thousand, five hundred forty-one".