101013135 has 16 divisors (see below), whose sum is σ = 165564000. Its totient is φ = 52559360.

The previous prime is 101013127. The next prime is 101013137. The reversal of 101013135 is 531310101.

It is not a de Polignac number, because 101013135 - 2³ = 101013127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81510 + ... + 82739.

It is an arithmetic number, because the mean of its divisors is an integer number (10347750).

Almost surely, 2^101013135 is an apocalyptic number.

101013135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101013135 is a deficient number, since it is larger than the sum of its proper divisors (64550865).

101013135 is a wasteful number, since it uses less digits than its factorization.

101013135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164298.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 101013135 is about 10050.5290905504. The cubic root of 101013135 is about 465.7211379647.

Adding to 101013135 its reverse (531310101), we get a palindrome (632323236).

The spelling of 101013135 in words is "one hundred one million, thirteen thousand, one hundred thirty-five".