101405213 has 16 divisors (see below), whose sum is σ = 125381760. Its totient is φ = 79862976.

The previous prime is 101405209. The next prime is 101405231. The reversal of 101405213 is 312504101.

It is a cyclic number.

It is not a de Polignac number, because 101405213 - 2² = 101405209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101405191 and 101405200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101405203) 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, 18203 + ... + 23111.

It is an arithmetic number, because the mean of its divisors is an integer number (7836360).

Almost surely, 2^101405213 is an apocalyptic number.

101405213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101405213 is a deficient number, since it is larger than the sum of its proper divisors (23976547).

101405213 is a wasteful number, since it uses less digits than its factorization.

101405213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101405213 is about 10070.0155411995. The cubic root of 101405213 is about 466.3229186818.

Adding to 101405213 its reverse (312504101), we get a palindrome (413909314).

The spelling of 101405213 in words is "one hundred one million, four hundred five thousand, two hundred thirteen".