101404033040013 has 64 divisors (see below), whose sum is σ = 158321527603200. Its totient is φ = 57079627853760.

The previous prime is 101404033039963. The next prime is 101404033040027. The reversal of 101404033040013 is 310040330404101.

It is not a de Polignac number, because 101404033040013 - 2⁹ = 101404033039501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101404033040113) 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 63 ways as a sum of consecutive naturals, for example, 9841870 + ... + 17310992.

It is an arithmetic number, because the mean of its divisors is an integer number (2473773868800).

Almost surely, 2^{101404033040013} is an apocalyptic number.

It is an amenable number.

101404033040013 is a deficient number, since it is larger than the sum of its proper divisors (56917494563187).

101404033040013 is a wasteful number, since it uses less digits than its factorization.

101404033040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469582.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101404033040013 its reverse (310040330404101), we get a palindrome (411444363444114).

The spelling of 101404033040013 in words is "one hundred one trillion, four hundred four billion, thirty-three million, forty thousand, thirteen".