101913 has 16 divisors (see below), whose sum is σ = 162816. Its totient is φ = 55440.

The previous prime is 101891. The next prime is 101917. The reversal of 101913 is 319101.

It is a de Polignac number, because none of the positive numbers 2^k-101913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101892 and 101901.

It is not an unprimeable number, because it can be changed into a prime (101917) 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, 378 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (10176).

2¹⁰¹⁹¹³ is an apocalyptic number.

It is an amenable number.

101913 is a deficient number, since it is larger than the sum of its proper divisors (60903).

101913 is a wasteful number, since it uses less digits than its factorization.

101913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 101913 is about 319.2381556143. The cubic root of 101913 is about 46.7099994330.

The spelling of 101913 in words is "one hundred one thousand, nine hundred thirteen".