101131607 has 4 divisors (see below), whose sum is σ = 101903736. Its totient is φ = 100359480.

The previous prime is 101131577. The next prime is 101131627. The reversal of 101131607 is 706131101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101131607 - 2¹² = 101127511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131627) 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 3 ways as a sum of consecutive naturals, for example, 385868 + ... + 386129.

It is an arithmetic number, because the mean of its divisors is an integer number (25475934).

Almost surely, 2^101131607 is an apocalyptic number.

101131607 is a deficient number, since it is larger than the sum of its proper divisors (772129).

101131607 is an equidigital number, since it uses as much as digits as its factorization.

101131607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772128.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 101131607 is about 10056.4211825082. The cubic root of 101131607 is about 465.9031385804.

Adding to 101131607 its reverse (706131101), we get a palindrome (807262708).

The spelling of 101131607 in words is "one hundred one million, one hundred thirty-one thousand, six hundred seven".