101312133 has 16 divisors (see below), whose sum is σ = 145716480. Its totient is φ = 62241984.

The previous prime is 101312117. The next prime is 101312137. The reversal of 101312133 is 331213101.

It is not a de Polignac number, because 101312133 - 2⁴ = 101312117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312137) 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, 26235 + ... + 29847.

It is an arithmetic number, because the mean of its divisors is an integer number (9107280).

Almost surely, 2^101312133 is an apocalyptic number.

101312133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101312133 is a deficient number, since it is larger than the sum of its proper divisors (44404347).

101312133 is a wasteful number, since it uses less digits than its factorization.

101312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101312133 is about 10065.3928388315. The cubic root of 101312133 is about 466.1801954977.

Adding to 101312133 its reverse (331213101), we get a palindrome (432525234).

The spelling of 101312133 in words is "one hundred one million, three hundred twelve thousand, one hundred thirty-three".