101032113 has 16 divisors (see below), whose sum is σ = 165796736. Its totient is φ = 53291520.

The previous prime is 101032079. The next prime is 101032121. The reversal of 101032113 is 311230101.

It is not a de Polignac number, because 101032113 - 2⁸ = 101031857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101032153) 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, 184768 + ... + 185313.

It is an arithmetic number, because the mean of its divisors is an integer number (10362296).

Almost surely, 2^101032113 is an apocalyptic number.

101032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101032113 is a deficient number, since it is larger than the sum of its proper divisors (64764623).

101032113 is a wasteful number, since it uses less digits than its factorization.

101032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370104.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101032113 is about 10051.4731756096. The cubic root of 101032113 is about 465.7503021663.

Adding to 101032113 its reverse (311230101), we get a palindrome (412262214).

The spelling of 101032113 in words is "one hundred one million, thirty-two thousand, one hundred thirteen".