101404214413 has 16 divisors (see below), whose sum is σ = 107571815424. Its totient is φ = 95259324160.

The previous prime is 101404214407. The next prime is 101404214449. The reversal of 101404214413 is 314412404101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101404214413 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 (101404214213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34642956 + ... + 34645882.

It is an arithmetic number, because the mean of its divisors is an integer number (6723238464).

Almost surely, 2^101404214413 is an apocalyptic number.

It is an amenable number.

101404214413 is a deficient number, since it is larger than the sum of its proper divisors (6167601011).

101404214413 is a wasteful number, since it uses less digits than its factorization.

101404214413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 101404214413 its reverse (314412404101), we get a palindrome (415816618514).

The spelling of 101404214413 in words is "one hundred one billion, four hundred four million, two hundred fourteen thousand, four hundred thirteen".