10067401133301 has 16 divisors (see below), whose sum is σ = 13645681719680. Its totient is φ = 6600399808320.

The previous prime is 10067401133281. The next prime is 10067401133329. The reversal of 10067401133301 is 10333110476001.

It is not a de Polignac number, because 10067401133301 - 2²⁶ = 10067334024437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067401133371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3862786 + ... + 5920803.

It is an arithmetic number, because the mean of its divisors is an integer number (852855107480).

Almost surely, 2^{10067401133301} is an apocalyptic number.

It is an amenable number.

10067401133301 is a deficient number, since it is larger than the sum of its proper divisors (3578280586379).

10067401133301 is an equidigital number, since it uses as much as digits as its factorization.

10067401133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789276.

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 10067401133301 in words is "ten trillion, sixty-seven billion, four hundred one million, one hundred thirty-three thousand, three hundred one".