101013133 has 32 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 84188160.

The previous prime is 101013127. The next prime is 101013137. The reversal of 101013133 is 331310101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101013133 - 2²¹ = 98915981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795316 + ... + 795442.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^101013133 is an apocalyptic number.

101013133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101013133 is a deficient number, since it is larger than the sum of its proper divisors (18979187).

101013133 is a wasteful number, since it uses less digits than its factorization.

101013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 101013133 is about 10050.5289910532. The cubic root of 101013133 is about 465.7211348910.

Adding to 101013133 its reverse (331310101), we get a palindrome (432323234).

The spelling of 101013133 in words is "one hundred one million, thirteen thousand, one hundred thirty-three".