101101413 has 16 divisors (see below), whose sum is σ = 162168320. Its totient is φ = 54731376.

The previous prime is 101101393. The next prime is 101101433. The reversal of 101101413 is 314101101.

It is an interprime number because it is at equal distance from previous prime (101101393) and next prime (101101433).

It is not a de Polignac number, because 101101413 - 2¹⁶ = 101035877 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 (101101433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126295 + ... + 127092.

It is an arithmetic number, because the mean of its divisors is an integer number (10135520).

Almost surely, 2^101101413 is an apocalyptic number.

It is an amenable number.

101101413 is a deficient number, since it is larger than the sum of its proper divisors (61066907).

101101413 is a wasteful number, since it uses less digits than its factorization.

101101413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253416.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101101413 is about 10054.9198405557. The cubic root of 101101413 is about 465.8567670584.

Adding to 101101413 its reverse (314101101), we get a palindrome (415202514).

The spelling of 101101413 in words is "one hundred one million, one hundred one thousand, four hundred thirteen".