101131681 has 8 divisors (see below), whose sum is σ = 115662080. Its totient is φ = 86622048.

The previous prime is 101131669. The next prime is 101131697. The reversal of 101131681 is 186131101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101131681 - 2¹³ = 101123489 is a prime.

It is a super-2 number, since 2×101131681² = 20455233803771522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7240 + ... + 15958.

It is an arithmetic number, because the mean of its divisors is an integer number (14457760).

Almost surely, 2^101131681 is an apocalyptic number.

It is an amenable number.

101131681 is a deficient number, since it is larger than the sum of its proper divisors (14530399).

101131681 is an equidigital number, since it uses as much as digits as its factorization.

101131681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383.

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 101131681 is about 10056.4248617488. The cubic root of 101131681 is about 465.9032522172.

Adding to 101131681 its reverse (186131101), we get a palindrome (287262782).

The spelling of 101131681 in words is "one hundred one million, one hundred thirty-one thousand, six hundred eighty-one".